Interpolation and partial differential equations

DOI10.1063/1.530829zbMath0820.41004OpenAlexW1973776816MaRDI QIDQ4327226

Lars-Erik Persson, Lech Maligranda, John A. Wyller

Publication date: 5 April 1995

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: http://urn.kb.se/resolve?urn=urn:nbn:se:ltu:diva-7009

zbMATH Keywords

wave equationlinear interpolationnonlinear interpolationapplications to PDEs

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05) General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to partial differential equations (35-00)

Related Items (4)

The initial-boundary value problem for the ``good Boussinesq equation on the bounded domain ⋮ The initial-boundary-value problem for the ``good Boussinesq equation on the half line ⋮ On nonlinear interpolation ⋮ Interpolation of nonlinear maps

Cites Work

• Algebraic \(L^ 2\) decay for Navier-Stokes flows in exterior domains
• Maximal regularity for evolution equations by interpolation and extrapolation
• \(L^ p\)-estimates for the nonlinear spatially homogeneous Boltzmann equation
• \(L^p\) estimates for the waves equation
• Density properties for solenoidal vector fields, with applications to the Navier-Stokes equations in exterior domains
• Solutions of the Korteweg-de Vries equation in fractional order Sobolev spaces
• Ein nichtlinearer Interpolationssatz und seine Anwendung auf nichtlineare Wellengleichungen
• Interpolation non linéaire et régularité
• Régularité $W_0^{1,p} \left(2 < p < +\infty \right)$ de la solution d'un problème unilatéral

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