On the invertibility of parabolic pseudodifferential operators in general exponential weighted spaces

zbMath1235.35290MaRDI QIDQ662348

Vladimir S. Rabinovich, Ya. A. Lutskiĭ

Publication date: 22 February 2012

Published in: Communications in Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.cma/1322489165

zbMATH Keywords

pseudodifferential operatorsparabolicityexponential weighted estimates

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Higher-order parabolic equations (35K25) Initial value problems for PDEs with pseudodifferential operators (35S10)

Cites Work

• Pseudodifferential operators with analytic symbols and estimates for eigenfunctions of Schrödinger operators
• Invertibility of parabolic pseudodifferential operators with rapidly increasing symbols
• Weighted distribution spaces and pseudodifferential operators
• A general calculus of pseudodifferential operators
• Pseudo-differential operators and Cauchy problem for differential equations with variable coefficients
• Oscillatory integrals of symbols of pseudo-differential operators on $R^n $ and operators of Fredholm type
• ELLIPTIC PROBLEMS WITH A PARAMETER AND PARABOLIC PROBLEMS OF GENERAL TYPE
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