Stability, instability and center manifold theorem for fully nonlinear autonomous parabolic equations in Banach space

DOI10.1007/BF00251457zbMath0661.35044OpenAlexW2008100206MaRDI QIDQ1113009

Alessandra Lunardi, Giuseppe Da Prato

Publication date: 1988

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00251457

zbMATH Keywords

stabilityinstabilityexistenceequilibriumsaddle pointsfully nonlinearattracting local center manifold

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Initial value problems for second-order parabolic equations (35K15) Dynamical systems and ergodic theory (37-XX)

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