Existence, uniqueness, and stability of nonlinear evolution equations

DOI10.1016/0022-247X(79)90129-XzbMath0412.47035OpenAlexW2055308952MaRDI QIDQ1260340

K. Appert

Publication date: 1979

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(79)90129-x

zbMATH Keywords

nonlinear oscillationsnonlinear evolution equationsnonlinear semigroupheat equationsLiapunov theoryBerger's equation

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Control/observation systems governed by partial differential equations (93C20) Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25)

Related Items (5)

Existence and uniqueness of solutions for the Schrödinger integrable boundary value problem ⋮ State and parameter estimation for nonlinear systems ⋮ An abstract setting for non-linear distributed multi-pass processes ⋮ On nonlinear parabolic equations with abruptly changing nonlinear boundary conditions ⋮ An existence result for a class of nonlinear evolution equations in Banach spaces

Cites Work

• Semi-groups of nonlinear contractions and dissipative sets
• Stability and Stabilizability of Infinite-Dimensional Systems
• An Abstract Theory for Unbounded Control Action for Distributed Parameter Systems
• Equivalent Norms for Sobolev Spaces
• On nonlinear stability theory
• Generation of Semi-Groups of Nonlinear Transformations on General Banach Spaces
• Bounds on Motions of Some Lumped and Continuous Dynamic Systems
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