Center manifolds of infinite dimensions. I: Main results and applications
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Publication:808073
DOI10.1007/BF00962056zbMath0731.58067MaRDI QIDQ808073
Publication date: 1991
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
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Cites Work
- Semigroups of linear operators and applications to partial differential equations
- Periodic nonlinear waves on a half-line
- A reduction principle for nonautonomous systems in infinite-dimensional spaces
- Die klassisch-reguläre Lösbarkeit des Rand-Anfangswertproblems nichtlinearer Wellengleichungen mit einer Randbedingung vom gemischten Typ. (The classical regular solvability of the boundary initial value problem of nonlinear wave equations with a mixed type boundary condition)
- Nonexistence of spatially localized free vibrations for a class of nonlinear wave equations
- Geometric theory of semilinear parabolic equations
- Applications of centre manifold theory
- On nonlinear problems of mixed type: A qualitative theory using infinite- dimensional center manifolds
- Abstract non linear wave equations
- Wave-solutions of reversible systems and applications
- Zentrumsmannigfaltigkeiten bei elliptischen Differentialgleichungen
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