Existence for an evolution equation with a nonmonotone continuous nonlinearity

DOI10.1016/0362-546X(81)90061-4zbMath0469.47048MaRDI QIDQ3923147

Meike Zhou

Publication date: 1981

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

zbMATH Keywords

evolution equationmonotone operatorsubdifferentialconjugate functionm-accretive operatorlower semicontinuous proper convex function

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Nonlinear parabolic equations (35K55) Nonlinear accretive operators, dissipative operators, etc. (47H06) Equations involving nonlinear operators (general) (47J05)

Cites Work

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• Differentiability of a nonlinear semigroup in \(L^1\)
• Sur la résolution d'une équation et d'une inéquation parabolique non linéaires
• On the nonlinear semi-groups associated with \(u_t=\Delta \beta (u)\) and \(\varphi(u_t)=\Delta u\)
• Nonlinear Degenerate Evolution Equations and Partial Differential Equations of Mixed Type
• Existence for Nonlinear Volterra Equations in Hilbert Spaces
• The equation A(t, u(t))′ + B(t, u(t)) = 0

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