Theorems on existence, stability, and higher regularity of solutions of differential inclusions

DOI10.1134/S1064562410010072zbMath1202.35365OpenAlexW2080253521MaRDI QIDQ606488

Mikhail A. Sychev

Publication date: 17 November 2010

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562410010072

zbMATH Keywords

differential inclusionsconsecutive perturbationssequence of admissible functions

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs with multivalued right-hand sides (35R70) Stability in context of PDEs (35B35) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Cites Work

• Unnamed Item
• An inviscid flow with compact support in space-time
• Implicit partial differential equations
• General existence theorems for Hamilton-Jacobi equations in the scalar and vectorial cases
• The regularity of critical points of polyconvex functionals
• Weak solutions with decreasing energy of incompressible Euler equations
• Parabolic systems with nowhere smooth solutions
• A few remarks on differential inclusions
• Optimal existence theorems for nonhomogeneous differential inclusions

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