Locally invariant manifolds for quasilinear parabolic equations

DOI10.1216/rmjm/1181072962zbMath0747.35016OpenAlexW2071698218MaRDI QIDQ1176412

Alexander Mielke

Publication date: 25 June 1992

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181072962

zbMATH Keywords

holomorphic semigroupinterpolation spacelocal center manifoldgeometric studylocal unstable manifoldquasilinear parabolic system of order \(2m\)

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25) Equations in function spaces; evolution equations (58D25)

Related Items (9)

Center manifold for the third-order nonlinear Schrödinger equation with critical lengths ⋮ Sturm attractors for quasilinear parabolic equations ⋮ Sturm attractors for fully nonlinear parabolic equations ⋮ Center manifolds and attractivity for quasilinear parabolic problems with fully nonlinear dynamical boundary conditions ⋮ A dynamical approach to semilinear elliptic equations ⋮ Sturm attractors for quasilinear parabolic equations with singular coefficients ⋮ On convergence of solutions to equilibria for quasilinear parabolic problems ⋮ An \(L^p\) theory of invariant manifolds for parabolic partial differential equations on \(\mathbb{R}^d\) ⋮ Anisotropic Einstein data with isotropic non negative prescribed scalar curvature

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