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- H. Antil, U. Biccari, R. Ponce, M. Warma, and S. Zamorano

*Controllability properties from the exterior under positivity constraints for a 1--D fractional heat equation.*

Submitted. arxiv - H. Antil, C. Lizama, R. Ponce, and M. Warma

*Convergence of solutions of discrete semi-linear space-time fractional evolution equations.*

Submitted. arxiv

- C. G. Gal and M. Warma.

*Fractional-in-Time Semilinear Parabolic Equations and Applications.*

Springer 2020. Link

- G. Leugering, G. Mophou, M. Moutamal, and M. Warma.

*Optimal control problems of parabolic fractional Sturm-Liouville equations in a star graph.*

Mathematical Control and Related Field, to appear. arxiv - C. Lizama, M. Warma, and S. Zamorano.

*Exterior controllability properties of a nonlocal Moore-Gibson-Thompson equation.*

Fractional Calculus and Applied Analysis, to appear. - H. Antil, C.G. Gal, and M. Warma.

*A unified framework for optimal control of fractional in time subdiffusive semilinear PDEs*

Discrete and Continuous Dynamical Systems, to appear. - H. Antil, T.S. Brown, D. Verma, and M. Warma.

*Optimal Control of Fractional PDEs with State and Control Constraints.*

Pure and Applied Functional Analysis, to appear. - J-D. Gjida, G. Mophou and M. Warma.

*Optimal Control of mixed local-nonlocal parabolic PDE with singular boundary-exterior data.*

Evolution Equations and Control Theory, to appear. arxiv - U. Biccari, M. Warma, and E. Zuazua

*Control and numerical approximation of fractional diffusion equations.*

Handbook of Numerical Analysis 23 (2022), 1--58. ScienceDirect - H. Antil, T. Brown, R. Khatri, A. Onwunta, D. Verma, and M. Warma

*Optimal control,numerics, and applications of fractional PDEs.*

Handbook of Numerical Analysis 23 (2022), 87--114. ScienceDirect - E. Aragones, V. Keyantuo, and M. Warma

*Approximate and mean approximate controllability properties for Hilfer time-fractional differential equations.*

Vietnam Journal of Mathematics 49 (2021), 739--765. Springer - C. Louis-Rose and M. Warma

*Approximate controllability from the exterior of space time fractional wave equations.*

Applied Mathematics and Optimization 83 (2021), 207--250. Springer - R. Ponce and M. Warma

*Asymptotic behavior and representation of solutions to a Volterra kind of equation with a singular kernel.*

Semigroup Forum 102 (2021), 250--273. Springer - M. Warma and S. Zamorano.

*Exponential Turnpike property for fractional parabolic equations with non-zero exterior data.*

ESAIM Control Optim. Calc. Var. 27 (2021), Paper No. 1, 35 pp. Springer - B. Claus and M. Warma.

*Realization of the fractional Laplacian with nonlocal exterior conditions via forms method.*

J. Evolution Equations 20 (2020), 1597--1631. Springer

- M. Warma and S. Zamorano

*Analysis of the controllability from the exterior of strong damping nonlocal wave equations.*

ESAIM Control Optim. Calc. Var. 26 (2020), Paper No. 42, 34 pp. ESIAM - U. Biccari, M. Warma, and E. Zuazua

*Controllability of the one-dimensional fractional heat equation under positivity constraints.*

Communications on Pure and Applied Analysis 19 (2020), 1949--1978. AIMS - V. Keyantuo, L. Tebou, and M. Warma

*A Gevrey class semigroup for a Thermoelastic plate model with a fractional Laplacian: Between the Euler-Bernoulli and Kirchhoff models.*

Discrete and Continuous Dynamical Systems (DCDS) Series A 40 (2020), 2875--2889. AIMS - U. Biccari and M. Warma

*Null-controllability properties of a fractional wave equation with a memory term.*

Evolution Equations and Control Theory 9 (2020), 399--430. AIMS - H. Antil, D. Verma, and M. Warma

*Optimal Control of Fractional Elliptic PDEs with State Constraints and Characterization of the dual of Fractional Order Sobolev Spaces.*

Journal of Optimization Theory and Applications (JOTA) 2020. arxiv - H. Antil, D. Verma, and M. Warma.

*External optimal control of fractional parabolic PDEs.*

ESAIM: Control, Optimisation and Calculus of Variations (CoCV), Volume: 26, Article Number: 20, Pages: 33, Year: 2020. arxiv - H. Antil and M. Warma.

*Optimal control of fractional semilinear PDEs.*

ESAIM: Control, Optimisation and Calculus of Variations (ESAIM: COCV), Volume: 26, Article Number : 5, Pages: 30. 2020. arxiv - H. Antil, R. Khatri, and M. Warma.

*External optimal control of nonlocal PDEs.*

Inverse Problems 35(8) 2019. arxiv - H. Antil and M. Warma.

*Optimal control of the coefficient for regional fractional p-Laplace equation: Approximation and convergence.*

Mathematical Control & Related Fields, 9(1), pp 1-38, 2019. arxiv

- M. Warma and S. Zamorano.

*Null controllability from the exterior of a one-dimensional nonlocal heat equation.*

Control & Cybernetics 48 (2019), 417--438. CC - V. Keyantuo, F. Seoanes, and M. Warma.

*Fractional Gaussian estimates and holomorphy of semigroups.*

Archiv der Mathematik 113 (2019), 629--647. Springer - M. Warma.

*Approximate controllability from the exterior of space-time fractional diffusive equations.*

SIAM Journal on Control and Optimization (SICON) 57 (2019), 2037--2063. SIAM - V. Keyantuo, C. Lizama, and M. Warma.

*Lattice dynamical systems associated to a fractional Laplacian.*

Numerical Functional Analysis and Optimization 40 (2019), 1315–-1343. Taylor & Francis Online - Gonzalez-Camus, V. Keyantuo, C. Lizama, and M. Warma.

*Fundamental solutions for discrete dynamical systems involving the fractional Laplacian..*

Mathematical Methods in the Applied Sciences (MMAS) 42 (2019), 4688--4711. MMAS - E. Alvarez, C. G. Gal, V. Keyantuo, and M. Warma.

*Well-posedness results for a class of semi-linear super-diffusive equations.*

Nonlinear Analysis 1181 (2019), 24--61. ScienceDirect - V. Keyantuo, C. Lizama, S. Rueda, and M. Warma.

*Asymptotic behavior of mild solutions for a class of abstract nonlinear difference equations of convolution type.*

Advances in Difference equations (2019), 2019:251. Springer - R. Chill and M. Warma.

*Corrigendum to: Dirichlet and Neumann boundary conditions for the p-Laplace operator: What is in between?*

Proc. Roy. Soc. Edinburgh Sect. A 149 (2019), 1689–1691. cambrigde.org - H. Antil and M. Warma.

*Optimal control of the coefficient for fractional p-Laplace equation: Approximation and convergence.*

RIMS Kokyuroku, 2090, 102--116, 2018. - U. Biccari, M. Warma, and E. Zuazua.

*Local regularity for fractional heat equations.*

Recent Advances in PDEs: Analysis, Numerics and Control. SEMA-SIMAI Springer Series (2018), 223--249. Springer - M. Warma.

*On the (s, p)-Dirichlet-to-Neumann operator on bounded Lipschitz domains.*

Journal of Elliptic and Parabolic Equations (2018), 223--269. Springer - W. Arendt, A. F.M. ter Elst, and M. Warma.

*Fractional powers of sectorial operators via the Dirichlet-to-Neumann operator.*

Communication in Partial Differential Equations 43 (2018), no. 1, 1--24. Taylor & Francis Online - H. Antil, J. Pfefferer, and M. Warma.

*A note on semilinear fractional elliptic equation: analysis and discretization.*

Math. Model. Numer. Anal. (ESAIM: M2AN) 51 (6) (2017). arxiv - V. Keyantuo, C. Lizama, and M. Warma.

*Existence, regularity and representation of solutions of fractional wave equations.*

Electronic Journal of Differential Equations 2017 (2017), No. 222, pp. 1-42. EJDE - M. Warma.

*On the approximate controllability from the boundary for fractional wave equations.*

Applicable Analysis 96 (2017), 2291--2315. Taylor & Francis Online - C. G. Gal and M. Warma.

*Nonlocal transmission problems with fractional diffusion and boundary conditions on non-smooth interfaces.*

Communication in Partial Differential Equations 42 (2017), 579--625. Taylor & Francis Online - C. G. Gal and M. Warma.

*On some degenerate non-local parabolic equations associated with the fractional p-Laplacian.*

Dynamics of PDE 14 (2017), 47--77. International Press - C. G. Gal and M. Warma.

*Nonlinear elliptic boundary value problems at resonance with nonlinear Wentzell-Robin type boundary conditions.*

Advances in Mathematical Physics 2017 (2017), Article ID 5196513, 20 pages. hindawi - U. Biccari, M. Warma, and E. Zuazua.

*Addendum: Local elliptic regularity for the Dirichlet fractional Laplacian.*

Advanced Nonlinear Stud. 17 (2017), 837--839. De Gruyter - U. Biccari, M. Warma, and E. Zuazua.

*Local elliptic regularity for the Dirichlet fractional Laplacian.*

Advanced Nonlinear Studies 17 (2017), 387--409. De Gruyter - C. G. Gal and M. Warma.

*Bounded solutions for nonlocal boundary valued problems on Lipschitz manifolds with boundary.*

Advanced Nonlinear Studies 16 (2016), 529--550. De Gruyter - C. G. Gal and M. Warma.

*Elliptic and parabolic equations with fractional diffusion and dynamic boundary conditions.*

Evolution Equations and Control Theory 5 (2016), 61--103. AIMS - V. Keyantuo, C. Lizama, and M. Warma.

*Existence, regularity and representation of solutions of time fractional diffusion equations.*

Advances in Differential Equations 21 (9/10) (2016), 837--886. euclid - V. Keyantuo and M. Warma.

*On the interior approximate controllability for fractional wave equations.*

Discrete Contin. Dyn. Syst. Ser. A 36 (2016), 3719--3739. AIMS - M. Warma.

*Local Lipschitz continuity of the inverse of the fractional p-Laplacian. Holder type continuity and continuous dependence of solutions to associated parabolic equations on bounded domains.*

Nonlinear Analysis 135 (2016), 129--157. Elsevier - M. Warma.

*The fractional Neumann and Robin boundary condition for the fractional p-Laplacian on open sets.*

NoDEA Nonlinear Differential Equations Appl. 23 (2016), 1--46. Springer - C. G. Gal and M. Warma.

*Transmission problems with nonlocal Wentzell type boundary conditions and rough dynamic interfaces.*

Nonlinearity 29 (2016), 161--197. IOPScience - C. G. Gal and M. Warma.

*Reaction-diffusion equations with fractional diffusion on non-smooth domains with various boundary conditions.*

Discrete Contin. Dyn. Syst. Ser. A 36 (2016) 1279--1319. AIMS - M. Warma.

*A fractional Dirichlet-to-Neumann operator.*

Commun. Pure Appl. Anal. 14 (2015), 2043--2067. AIMS - M. Warma.

*The fractional relative capacity and the fractional Laplacian with Neumann and Robin boundary conditions on open sets.*

Potential Analysis 42 (2015) , 499--547. Springer - M. Warma.

*The p-Laplace operator with the nonlocal Robin boundary conditions on arbitrary open sets.*

Ann. Mat. Pura Appl. 193 (2014), 203--235. Springer - P. Sacks and M. Warma.

*Semi-linear elliptic and elliptic-parabolic equations with Wentzell boundary conditions and L^1-data.*

Discrete Contin. Dyn. Syst. Ser. A 34 (2014), 763--789. AIMS - V. Keyantuo, C. Lizama, and M. Warma.

*Spectral criteria for solvability of boundary value problems and positivity of solutions of time-fractional differential equations.*

Abstract Applied Analysis (2013), Article ID 614328, 11 pages. Hindawi - V. Keyantuo, C. Lizama, and M. Warma.

*Asymptotic behavior of fractional order semilinear evolution equations.*

Differential Integral Equations 26 (2013), 757--780. euclid - M. Warma.

*Semi linear parabolic equations with nonlinear general Wentzell boundary conditions.*

Discrete Contin. Dyn. Syst. Ser. A 33 (2013), 5493--5506. AIMS - C. G. Gal and M. Warma.

*Existence of bounded solutions for a class of quasilinear elliptic systems on manifolds with boundary.*

J. Differential Equations 255 (2013), 151--192. ScienceDirect - R. Chill and M. Warma.

*A Riesz type representation for lower semicontinuous, monotone, local functionals on C_c (X)^+.*

Nonlinear Analysis 85 (2013), 17--22. ScienceDirect - M. Warma.

*Parabolic and elliptic problems with general Wentzell boundary conditions on Lipschitz domains.*

Commun. Pure Appl. Anal. 12 (2013), 1881--1905. AIMSt - R. Chill and M. Warma.

*Dirichlet and Neumann boundary conditions for the p-Laplace operator: What is in between?*

Proceedings of the Royal Society of Edinburgh, Section A 142 (2012), 975--1002. Cambridge - M. Warma.

*Regularity and well-posedness of some quasi-linear elliptic and parabolic problems with nonlinear general Wentzell boundary conditions on nonsmooth domains.*

Nonlinear Analysis 75 (2012) 5561--5588. Elsevier - E. Avarez-Pardo and M. Warma.

*The one-dimensional wave equation with general boundary conditions.*

Archiv der Mathematik (Basel) 96 (2011), 177--186. Springer - M. Biegert and M. Warma.

*Existence of solutions to some quasi-linear PDEs with generalized Robin boundary conditions.*

Nonlinear Analysis 73 (2010), 1853--1863. ScienceDirect - M. Warma.

*Analyticity on L_1 of the heat semigroup with Wentzell boundary conditions.*

Archiv der Mathematik (Basel) 94 (2010), 85--89. Springer - M. Biegert and M. Warma.

*Some quasi-linear elliptic equations with inhomogeneous generalized Robin boundary conditions on ``bad'' domains.*

Advances in Differential Equations 15 (2010), 893--924. euclid - A. Velez-Santiago and M. Warma.

*A class of quasi-linear parabolic and elliptic equations with nonlocal Robin boundary conditions.*

J. Mathematical Analysis and Applications 372 (2010), 120--139. ScienceDirect - C. G. Gal and M. Warma.

*Well-posedness and the global attractor of some quasi-linear parabolic equations with nonlinear dynamic boundary conditions.*

Differential and Integral Equations 23 (2010), 327--358. euclid - M. Biegert and M. Warma.

*The heat equation with nonlinear generalized Robin boundary conditions.*

J. Differential Equations 247 (2009), 1949--1979. ScienceDirect - M. Warma.

*An ultracontractivity property for semigroups generated by the p-Lapalcian with nonlinear Wentzell-Robin boundary conditions.*

Advances in Differential Equations 14 (2009), 771--800. euclide - R. Chill and M. Warma.

*Generation of cosine families on L^p (0,1) by elliptic operators with Robin boundary conditions.*

Birkhauser. Functional Analysis and Evolution Equations. 2008, 113--130. Springer - M. Warma.

*Quasilinear parabolic equations with nonlinear Wentzell-Robin type boundary conditions.*

J. Mathematical Analysis and Applications 336 (2007), 1132--1148. ScienceDirect - M. Warma.

*The Robin and Wentzell-Robin Laplacians on Lipschitz domains.*

Semigroup Forum 73 (2006), 10--30. Springer - M. Biegert and M. Warma.

*Regularity in capacity and the Dirichlet Laplacian.*

Potential Analysis 25 (2006), 289--305. Springer - V. Keyantuo and M. Warma.

*The wave equation with Wentzell-Robin boundary conditions on L^p-spaces.*

J. Differential Equations 229 (2006), 680--697. ScienceDirect - M. Biegert and M. Warma.

*Removable singularities for a Sobolev space.*

J. Mathematical Analysis and Applications 313 (2006), 49--63. ScienceDirect - V. Keyantuo and M. Warma.

*The wave equation in L^p-spaces..*

Semigroup Forum 71 (2005), 73--92. Springer - W. Arendt and M. Warma.

*The Laplacian with Robin boundary conditions on arbitrary domains.*

Potential Analysis 19 (2003), 341--363. Springer - W. Arendt and M. Warma.

*Dirichlet and Neumann boundary conditions: What is in between?*

J. Evolution Equations 3 (2003), 119--135. Springer - M. Warma.

*Wentzell-Robin boundary conditions on C[0,1].*

Semigroup Forum 66 (2003), 162--170. Springer