Pavel Leonidovich Gurevich was born on November 29, 1977. His scholarly career developed through mathematical research in Moscow and subsequently through international research work in Heidelberg and Berlin. His early work focused on nonlocal elliptic boundary-value problems and later broadened to nonlinear partial differential equations, hysteresis, reaction-diffusion systems, and pattern-forming processes.
Gurevich completed a master's degree at the State Aviation Institute in Moscow in 2000. He received his doctorate at Moscow State University in 2002 with a dissertation on solvability and asymptotics of solutions for nonlocal elliptic boundary-value problems. He later completed his habilitation at Peoples' Friendship University of Russia with work on elliptic problems with nonlocal boundary conditions and Feller semigroups; the corresponding Doctor of Physical-Mathematical Sciences degree was awarded in 2009.
Gurevich began his academic career at the Moscow Aviation Institute, where he served as an assistant in 2002–2003, a senior lecturer in 2003–2004, and an associate professor in 2004–2005 in the Department of Differential Equations. From 2005 to 2008 he worked in the Department of Differential Equations and Mathematical Physics at Peoples' Friendship University of Russia. In parallel, he held an Alexander von Humboldt fellowship at Heidelberg University from 2006 to 2008. Since 2008 he has worked at the Free University of Berlin, initially as a researcher in nonlinear dynamics and later as a project leader and Heisenberg fellow. His Berlin research has addressed nonlinear partial differential equations, hysteresis, reaction-diffusion systems, multiscale dynamics, dynamical systems, and pattern formation. He has also contributed to DFG Collaborative Research Centres on complex nonlinear processes and on the control of self-organizing nonlinear systems.
Received the Doctor of Physical-Mathematical Sciences degree in 2009 for research on elliptic problems with nonlocal boundary conditions and Feller semigroups.
Developed mathematical methods for studying solvability, regularity, asymptotics, and index stability in nonlocal elliptic problems.
Developed research methods for the analysis of hysteresis, reaction-diffusion systems, nonlinear dynamics, and pattern formation.
On periodicity of solutions for thermocontrol problems with hysteresis-type switches
(Article co-authored with Willi Jäger and Alexander Skubac...)
2009Reaction-diffusion equations with spatially distributed hysteresis
(Article co-authored with Pavel Shamin and Sergei Tikhomir...)
2013On the Fredholm and unique solvability of nonlocal elliptic problems in multidimensional domains
(Article co-authored with Alexander Skubachevskii and publ...)
2007Well-posedness of parabolic equations containing hysteresis with diffusive thresholds
(Article co-authored with Dmitry Rachinskii and published ...)
2013Periodic solutions of parabolic problems with hysteresis on the boundary
(Article published in Discrete and Continuous Dynamical Sy...)
2011Symmetric periodic solutions of parabolic problems with discontinuous hysteresis
(Article co-authored with Sergei Tikhomirov and published ...)
2011Unbounded perturbations of two-dimensional diffusion processes with nonlocal boundary conditions
(Article published in Doklady Akademii Nauk and translated...)
2007Smoothness of generalized solutions to nonlocal elliptic problems on the plane
(Article published in Doklady Akademii Nauk and translated...)
2004Nonlocal elliptic problems in dihedral angles and the Green formula
(Article published in Doklady Akademii Nauk and translated...)
2001Gradient conjugate priors and deep neural networks
(Article co-authored with Hannes Stuke and published in th...)
2019Parabolic problems with the Preisach hysteresis operator in boundary conditions
(Article co-authored with Willi Jäger and published in the...)
2009Bounded perturbations of two-dimensional diffusion processes with nonlocal conditions near the boundary
(Article published in Matematicheskie Zametki and translat...)
2008Generalized solutions of nonlocal elliptic problems
(Article published in Matematicheskie Zametki and translat...)
2005Solvability of nonlocal elliptic problems in dihedral angles
(Article published in Matematicheskie Zametki and translat...)
2002Nonlocal problems for elliptic equations in dihedral angles and the Green formula
(Research work on Green formulas and nonlocal elliptic pro...)
2001Uniqueness of transverse solutions for reaction-diffusion equations with spatially distributed hysteresis
(Article co-authored with Sergei Tikhomirov and published ...)
2012On the existence of a Feller semigroup with atomic measure in nonlocal boundary condition
(Article published in the Proceedings of the Steklov Insti...)
2008On the stability of the index of unbounded nonlocal operators in Sobolev spaces
(Article published in the Proceedings of the Steklov Insti...)
2006Solvability of nonlocal elliptic problems in Sobolev spaces, II
(Article published in the Russian Journal of Mathematical ...)
2004Solvability of nonlocal elliptic problems in Sobolev spaces, I
(Article published in the Russian Journal of Mathematical ...)
2003On nonexistence of Feller semigroups in the nontransversal case
(Article on Feller semigroups and nonlocal boundary condit...)
2008Smoothness of generalized solutions for higher-order elliptic equations with nonlocal boundary conditions
(Article published in the Journal of Differential Equations.)
2008On the index instability for some nonlocal elliptic problems
(Article on index instability in nonlocal elliptic problems.)
2007The consistency conditions and the smoothness of generalized solutions of nonlocal elliptic problems
(Article published in Advances in Differential Equations.)
2006Non-local elliptic problems with non-linear argument transformations near the points of conjugation
(Article published in Izvestiya Rossiiskoi Akademii Nauk. ...)
2003Asymptotics of solutions for nonlocal elliptic problems in plane bounded domains
(Article published in Functional Differential Equations.)
2003Solvability of the boundary value problem for some differential-difference equations
(Article published in Functional Differential Equations.)
1998Asymptotics of solutions for nonlocal elliptic problems in plane angles
(Article published in the proceedings of the I. G. Petrovs...)
2003Asymptotics of the heat kernels on 2D lattices
(Article published in Asymptotic Analysis.)
2019Patterns of Dynamics: International Conference on Patterns of Dynamics
(Conference proceedings co-edited with J. Hell, B. Sandste...)
2017MURPHYS-HSFS-2014: 7th International Workshop on Multi-Rate Processes and Hysteresis and the 2nd International Workshop on Hysteresis and Slow-Fast Systems
(Conference proceedings co-edited with O. Klein, M. Dimian...)
20168th Workshop on Multi-Rate Processes and Hysteresis and the HSFS Workshop
(Conference proceedings co-edited with A. Korobeinikov, D....)
2017Gurevich has participated in the DFG Collaborative Research Centres “Complex Nonlinear Processes: Analysis – Simulation – Control – Optimisation” and “Control of Self-Organising Nonlinear Systems,” including work as a project leader within the latter programme.
Gurevich's documented professional connections include the Department of Differential Equations and Mathematical Physics at Peoples' Friendship University of Russia, Heidelberg University, and the Institute of Mathematics at the Free University of Berlin. His research collaborations have included mathematicians such as Willi Jäger, Alexander Skubachevskii, Dmitry Rachinskii, Sergei Tikhomirov, and Hannes Stuke.
