Hodge type decomposition in variable exponent spaces for the time-dependent operators: the Schrödinger case

DOI10.3934/CPAA.2014.13.2253zbMath1335.30016OpenAlexW2329507659WikidataQ58038872 ScholiaQ58038872MaRDI QIDQ479531

Nelson Vieira, Uwe Kaehler, M. Manuela Rodrigues, Paula Cerejeiras

Publication date: 5 December 2014

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

Full work available at URL: https://doi.org/10.3934/cpaa.2014.13.2253

zbMATH Keywords

Schrödinger operatorHodge decompositionClifford analysisvariable exponent spacesClifford operator calculusparabolic-type Dirac operator

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) Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Functions of hypercomplex variables and generalized variables (30G35) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (2)

Fundamental solutions of the time fractional diffusion-wave and parabolic Dirac operators ⋮ Hodge-type decomposition for time-dependent first-order parabolic operators with non-constant coefficients: the variable exponent case

Cites Work

• Lebesgue and Sobolev spaces with variable exponents
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