Exponential Besov spaces and their applications to certain evolution equations with dissipation

DOI10.3934/CPAA.2004.3.883zbMath1072.46023OpenAlexW2051323711MaRDI QIDQ1767335

Bao Xiang Wang

Publication date: 10 March 2005

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

Full work available at URL: https://doi.org/10.3934/cpaa.2004.3.883

zbMATH Keywords

evolution equationsexponential Besov spaces

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) KdV equations (Korteweg-de Vries equations) (35Q53) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) One-parameter semigroups and linear evolution equations (47D06) Higher-order nonlinear hyperbolic equations (35L75)

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Isometric decomposition operators, function spaces \(E_{p,q}^{\lambda}\) and applications to nonlinear evolution equations ⋮ The global well-posedness and spatial decay of solutions for the derivative complex Ginzburg--Landau equation in \(H^{1}\) ⋮ Non-analytic superposition results on modulation spaces with subexponential weights ⋮ Dynamical behavior for the solutions of the Navier-Stokes equation ⋮ Global solution of the critical Burgers equation in \(N\) dimensions ⋮ Phase space analysis of the Hermite semigroup and applications to nonlinear global well-posedness

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