Nagumo type condition for partial differential inclusions

DOI10.1016/0362-546X(88)90077-6zbMath0654.49016OpenAlexW2036203199MaRDI QIDQ3800632

Shuzhong Shi

Publication date: 1988

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(88)90077-6

zbMATH Keywords

variational inequalitiesobstacle problemsviabilitytangential conditionautonomous differential inclusions

Mathematics Subject Classification ID

Variational inequalities (49J40) Controllability (93B05) Unilateral problems for linear parabolic equations and variational inequalities with linear parabolic operators (35K85) Initial-boundary value problems for second-order parabolic equations (35K20) Nonlinear differential equations in abstract spaces (34G20) Methods involving semicontinuity and convergence; relaxation (49J45) Ordinary differential inclusions (34A60)

Related Items (10)

Heat equations with discontinuous nonlinearities on convex and nonconvex constraints ⋮ A viability theorem for set-valued states in a Hilbert space ⋮ On nonlinear inclusions in non-smooth domains ⋮ A parabolic hemivariational inequality ⋮ Viability theorems for a class of differential-operator inclusions ⋮ Cadenced runs of impulse and hybrid control systems ⋮ Partial differential inclusions of transport type with state constraints ⋮ Periodic viable trajectories of differential inclusions ⋮ Impulse capture basins of sets under impulse control systems ⋮ Conditional viability for impulse differential games

Cites Work

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• Geometric theory of semilinear parabolic equations
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• Variational methods for non-differentiable functionals and their applications to partial differential equations
• Approximation methods for multivalued differential equations in Hilbert spaces
• Dual variational methods in critical point theory and applications
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• The obstacle problem and partial differential equations with discontinuous nonlinearities
• On the Existence of Positive Solutions of Semilinear Elliptic Equations

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