Nonlinear evolution equations governed by f-quasi-dissipative operators

DOI10.1016/0362-546X(81)90094-8zbMath0466.47039OpenAlexW2053420752MaRDI QIDQ3918613

Nicolae H. Pavel

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1016/0362-546x(81)90094-8

zbMATH Keywords

evolution operatorrange conditiontangential conditiondissipative multivalued operatorDS-limit solutions

Mathematics Subject Classification ID

Nonlinear accretive operators, dissipative operators, etc. (47H06) Equations involving nonlinear operators (general) (47J05) Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25)

Related Items (8)

Differential equations in a Banach space ⋮ Characterization of Nonlinear Semigroups Associated with Semilinear Evolution Equations ⋮ Well-posedness of non-autonomous evolutionary inclusions ⋮ Existence results for nonlinear functional evolution equations with delay conditions ⋮ On Nonlinear Evolution Operators Associated with Some Nonlinear Dispersive Equations ⋮ Semilinear equations with dissipative time-dependent domain perturbations ⋮ Nonlinear and quasilinear evolution equations: Existence, uniqueness, and comparison of solutions; the rate of convergence of the difference method ⋮ Convergence of nonlinear evolution operators in Banach spaces

Cites Work

• Difference approximation of Cauchy problems for quasi-dissipative operators and generation of nonlinear semigroups
• Nonlinear evolution equations in an arbitrary Banach space
• On the relation of the operator \(\partial/\partial s+partial/\tau\) to evolution governed by accretive operators
• Invariant sets for a class of perturbed differential equations of retarded type
• Nonlinear semigroups and evolution equations
• Differential Equations on Closed Subsets of a Banach Space
• Invariant sets for a class of semi-linear equations of evolution
• A Generalized Domain for Semigroup Generators
• Generation of Semi-Groups of Nonlinear Transformations on General Banach Spaces
• Nonlinear evolution equations in Banach spaces
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