Comparison and stability of solutions to a class of quasilinear parabolic problems

DOI10.1017/S0308210500022265zbMath0669.35052OpenAlexW2333447823MaRDI QIDQ3822584

Michel Chipot, José-Francisco Rodrigues

Publication date: 1988

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500022265

zbMATH Keywords

comparisonstabilityuniquenessquasilinearobstaclesasymptotic stabilisation

Mathematics Subject Classification ID

Related Items (8)

Extremal solutions of quasilinear parabolic inclusions with generalized Clarke's gradient. ⋮ Kyle-back models with risk aversion and non-Gaussian beliefs ⋮ Asymptotic behaviour for some quasilinear parabolic equations ⋮ Directedness of solution set for some quasilinear multi-valued parabolic problems ⋮ Quasivariational solutions for first-order quasilinear equations with gradient constraint ⋮ Sub-super-solution method for a class of higher order evolution hemivariational inequalities ⋮ Sub-supersolution method for quasilinear parabolic variational inequalities ⋮ Existence and uniqueness of a regular solution of the Cauchy-Dirichlet problem for the equation of turbulent filtration

Cites Work

• On the comparison principle for quasilinear divergence structure equations
• On existence and smoothness of solutions of some non-coercive variational inequalities
• On some nonlinear elliptic equations involving derivatives of the nonlinearity
• A penalty method approach to strong solutions of some nonlinear parabolic unilateral problems

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