On the Schrödinger equation in \(L^ p\) spaces

DOI10.1007/BF01446295zbMath0842.35024MaRDI QIDQ1910162

Omar El-Mennaoui, Valentin Keyantuo

Publication date: 31 March 1996

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/165405

zbMATH Keywords

holomorphic semigroupsoptimality of the Sobolev constants

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) General theory of partial differential operators (47F05) A priori estimates in context of PDEs (35B45) Schrödinger operator, Schrödinger equation (35J10)

Related Items (8)

Space analyticity for the Navier-Stokes and related equations with initial data in \(L^p\) ⋮ Weak type \((1,1)\) bounds for Schrödinger groups ⋮ Fractional integration of imaginary order in vector-valued Hölder spaces ⋮ Applications of semigroups of operators to non-elliptic differential operators ⋮ Weak type \((p,p)\) bounds for Schrödinger groups via generalized Gaussian estimates ⋮ Generation of the integrated semigroups by superelliptic differential operators ⋮ Schrödinger-type evolution equations in \(L^p(\Omega)\) ⋮ Spectral decomposition and Gelfand's theorem

Cites Work

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• Semigroups of linear operators and applications to partial differential equations
• Integrated semigroups and their applications to the abstract Cauchy problem
• Elliptic differential operators on Lie groups
• Approximation of multipliers by regular operators
• Integrated semigroups and differential operators on \(L^ p\) spaces
• Boundary Values of Holomorphic Semigroups
• A Note on Interpolation of Semigroups
• Polynomial Extremal Problems in L p

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