Singular nonlinear parabolic boundary value problems in one space dimension

DOI10.1016/0022-0396(87)90179-3zbMath0626.35048OpenAlexW2006719431MaRDI QIDQ580589

Jerome A. Goldstein, Chin-Yuan Lin

Publication date: 1987

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(87)90179-3

zbMATH Keywords

initial-boundary value problemuniquenessnonlinear boundary conditionsperiodicDirichletNeumannm-dissipativeGlobal existence

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Initial-boundary value problems for second-order parabolic equations (35K20)

Related Items

Nonlinear nonautonomous partial functional differential BVP ⋮ Degenerate nonlinear parabolic boundary value problems ⋮ Positive solutions of certain elliptic systems with density-dependent diffusions ⋮ Functional evolution equations. ⋮ Analytic semigroups, degenerate elliptic operators and applications to nonlinear Cauchy problems ⋮ A singular quasilinear parabolic problem in one space dimension ⋮ Existence and uniqueness of solutions to degenerate semilinear parabolic equations ⋮ Boundary conditions for one-dimensional positive semigroups ⋮ An \(L^ p\) semigroup approach to degenerate parabolic boundary value problems ⋮ Fully nonlinear parabolic boundary value problems in higher space dimensions (II) ⋮ Fully nonlinear parabolic boundary value problems in one space dimension. I ⋮ A new approach to the analyticity of some classes of one-parameter semigroups in weighted-\(L^p\) spaces

Cites Work

• General boundary value problems for second order differential equations
• Generation of Semi-Groups of Nonlinear Transformations on General Banach Spaces
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