Hyperbolic equation method in \(L^ p\)-spaces

DOI10.1007/BF01060658zbMath0695.35057OpenAlexW2085709321MaRDI QIDQ909879

Michael Perelmuter

Publication date: 1989

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01060658

zbMATH Keywords

essential selfadjointness

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) Second-order elliptic equations (35J15) Initial value problems for second-order hyperbolic equations (35L15)

Cites Work

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• Self-adjointness of the minimal Schrödinger operator with potential belonging to \(L_{1,\text{loc}}\)
• Essential self-adjointness of second-order elliptic operator with measurable coefficients
• \(L^p\) estimates for the waves equation
• \(L^p-L^q\) estimates for the Klein-Gordon equation
• Schrödinger and Dirac operators with singular potentials and hyperbolic equations
• Essential self-adjointness of powers of generators of hyperbolic equations
• L ¹ Properties of Second order Elliptic Operators
• Finiteness of the rate of propagation of perturbations for hyperbolic equations

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