On nonlinear equations of evolution

DOI10.1016/0362-546X(89)90099-0zbMath0686.47048OpenAlexW2058746106MaRDI QIDQ4204699

Panagiotis E. Souganidis, Michael G. Crandall

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0362-546x(89)90099-0

zbMATH Keywords

existence of solutions of the initial value problem

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Equations involving nonlinear operators (general) (47J05)

Related Items (6)

Evolution equations governed by quasilinear operators satisfying Carathéodory’s conditions ⋮ A product formula for semigroups of Lipschitz operators associated with abstract quasilinear evolution equations ⋮ The abstract Cauchy problem for dissipative operators with respect to metric-like functionals ⋮ On the construction of methods of lines for functional evolutions in general Banach spaces ⋮ On the construction and the convergence of the method of lines for quasi-nonlinear functional evolutions in general banach spaces ⋮ Global solutions of abstract quasi-linear evolution equations of ``hyperbolic type

Cites Work

• On the relation of the operator \(\partial/\partial s+partial/\tau\) to evolution governed by accretive operators
• Convergence of difference approximations of quasilinear evolution equations
• Nonlinear nonautonomous functional differential equations in Lp spaces
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