Strongly nonlinear parabolic initial-boundary value problems

AUTOR(ES)

Brezis, Haim

RESUMO

An existence and uniqueness result is presented for the solution of a parabolic initial-boundary value problem under Dirichlet null boundary conditions for a general parabolic equation of order 2m with a strongly nonlinear zeroth-order perturbation. This is the parabolic generalization of a class of elliptic results considered earlier by the writers and others and is based upon a new compactness theorem.

Documentos Relacionados

• Strongly nonlinear parabolic variational inequalities
• INVARIANT IMBEDDING AND THE REDUCTION OF TWO-POINT BOUNDARY VALUE PROBLEMS TO INITIAL VALUE PROBLEMS
• Self-similar intermediate asymptotics for nonlinear degenerate parabolic free-boundary problems that occur in image processing
• Pseudo-monotone operators and nonlinear elliptic boundary value problems on unbounded domains
• ESTIMATES AND EXISTENCE THEOREMS FOR ELLIPTIC BOUNDARY VALUE PROBLEMS*