Smoothness of bounded solutions of nonlinear evolution equations

DOI10.1016/0022-0396(85)90102-0zbMath0505.34029OpenAlexW2031771203MaRDI QIDQ1836028

Jürgen Scheurle, Jack K. Hale

Publication date: 1985

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(85)90102-0

zbMATH Keywords

attractorsbifurcationanalyticityheteroclinic orbitsnonlinear evolution equationsbounded solutionscenter manifoldssmoothness of solutionsgeneralized Hopf bifurcation

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonlinear ordinary differential equations and systems (34A34) Growth and boundedness of solutions to ordinary differential equations (34C11) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27) Dynamical systems and ergodic theory (37-XX)

Related Items

A reduction principle for nonautonomous systems in infinite-dimensional spaces, Unnamed Item, Hopf bifurcation for fully nonlinear equations in Banach space, Hopf bifurcation for functional and functional differential equations with infinite delay, Properties of bounded solutions of linear and nonlinear evolution equations: Homoclinics of a beam equation, Approximate inertial manifolds for the system of the J-J equations, Regularity of time-periodic solutions to autonomous semilinear hyperbolic PDEs, Persistence and imperfection of nonautonomous bifurcation patterns, Regularity, determining modes and Galerkin methods., On perturbations of delay-differential equations with periodic orbits., Attractors of asymptotically compact processes and applications to nonlinear partial differential equations, Regularity of the global attractor and finite-dimensional behavior for the second grade fluid equations, Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• An introduction to infinite dimensional dynamical systems -- geometric theory. With an appendix by Krzysztof P. Rybakowski
• Geometric theory of semilinear parabolic equations
• On some nonlinear evolution equations with strong dissipation. III
• Periodic solutions of analytic functional differential equations are analytic
• The Hopf bifurcation and its applications. With contributions by P. Chernoff, G. Childs, S. Chow, J. R. Dorroh, J. Guckenheimer, L. Howard, N. Kopell, O. Lanford, J. Mallet-Paret, G. Oster, O. Ruiz, S. Schecter, D. Schmidt, and S. Smale
• On some nonlinear evolution with the strong dissipation
• The Hopf bifurcation theorem in infinite dimensions
• On some nonlinear evolution equations with the strong dissipation. II
• Halbgruppen und semilineare Anfangs-Randwertprobleme
• Non-linear semi-groups
• Generalized Hopf bifurcation in Hilbert space