On a parabolic boundary value problem with discontinuous nonlinearity

DOI10.1016/0362-546X(90)90156-BzbMath0726.35064OpenAlexW2012510233MaRDI QIDQ3350008

Seppo Heikkilä, Siegfried Carl

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0362-546x(90)90156-b

zbMATH Keywords

existenceinitial boundary value problemdiscontinuous nonlinearitygeneralized iteration methodleast and greatest solutions

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60)

Related Items (13)

On a generalized iteration method with applications to fixed point theorems and elliptic systems involving discontinuities ⋮ Strong solutions of periodic parabolic problems with discontinuous nonlinearities ⋮ The existence of semiregular solutions to elliptic spectral problems with discontinuous nonlinearities ⋮ Extremal solutions for nonlinear parabolic problems with discontinuities ⋮ On extremal solutions of operator equations in ordered normed spaces ⋮ Periodic solutions of a parabolic equation with homogeneous Dirichlet boundary condition and linearly increasing discontinuous nonlinearity ⋮ On some quasilinear parabolic equations with non-monotone multivalued terms ⋮ Unnamed Item ⋮ Operator equations in orderd sets and discontinuous implicit parabolic equations ⋮ Nonlocal conditions for lower semicontinuous parabolic inclusions ⋮ Nonlinear periodic parabolic problems with nonmonotone discontinuities ⋮ Algorithms for the fixed point property ⋮ Maximum and minimum solutions for nonlinear parabolic problems with discontinuities

Cites Work

• Unnamed Item
• On an elliptic boundary value problem with discontinuous nonlinearity
• The monotone iterative technique for a parabolic boundary value problem with discontinuous nonlinearity

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