Locally Lipschitz perturbations of bisemigroups

DOI10.3934/CPAA.2010.9.327zbMath1191.47080OpenAlexW2073467450MaRDI QIDQ972024

Mohamed Sami ElBialy

Publication date: 25 May 2010

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2010.9.327

zbMATH Keywords

modulated wavessolitary wavesRiccati equationsevolution equationselliptic equationsill-posed problemsexponential dichotomiesblock operatorssemigroup perturbationsbi-semigroups

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Nonlinear differential equations in abstract spaces (34G20) Ill-posed problems for PDEs (35R25) Nonlinear ill-posed problems (47J06) Solitary waves in solid mechanics (74J35) Dichotomy, trichotomy of solutions to ordinary differential equations (34D09) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (4)

Dichotomous solutions for semilinear ill-posed equations with sectorially dichotomous operator ⋮ Continuous-time dichotomies without unstable invariant manifolds for autonomous system ⋮ Stable and unstable manifolds for hyperbolic bi-semigroups ⋮ GLOBAL STABLE AND UNSTABLE MANIFOLDS FOR A CLASS OF SEMILINEAR EQUATIONS WITH SECTORIALLY DICHOTOMOUS OPERATOR

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