Bessel (Riesz) potentials on banach function spaces and their applications I theory

DOI10.1007/BF02580436zbMath0919.46022MaRDI QIDQ4209720

Bao Xiang Wang

Publication date: 5 September 1999

Published in: Acta Mathematica Sinica (Search for Journal in Brave)

zbMATH Keywords

nonlinear wave equationssemi-groupLebesgue-Besov spacesBessel potential Köthe function spacesRiesz potential Köthe function spaces

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Geometry and structure of normed linear spaces (46B20) Wave equation (35L05) Perturbations in context of PDEs (35B20)

Related Items (5)

Nonlinear scattering theory for a class of wave equations in \(H^{s}\) ⋮ The limit behavior of solutions for the Cauchy problem of the complex Ginzburg‐Landau equation ⋮ The global Cauchy problem for the NLS and NLKG with small rough data ⋮ Decay estimates for a class of wave equations ⋮ On the initial value problem and scattering of solutions for the generalized Davey-Stewartson systems

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• On \(L_2-L_{p'}\) estimates for the wave-equation
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• Classical Global Solutions for Non-linear Klein-Gordon-Schrödinger Equations
• The cauchy problem for the critical nonlinear Schrödinger equation in Hs

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