Exponential estimates of solutions of parabolic pseudodifferential equations with discontinuous and growing symbols†

DOI10.1080/17476930903030036zbMath1185.47049OpenAlexW2107741869MaRDI QIDQ3391822

Ya. A. Lutskiĭ, Vladimir S. Rabinovich

Publication date: 13 August 2009

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476930903030036

zbMATH Keywords

Cauchy problemparabolic equations with growing coefficientsparabolic pseudodifferential operator

Mathematics Subject Classification ID

Initial value problems for second-order parabolic equations (35K15) Pseudodifferential operators (47G30) Initial value problems for PDEs with pseudodifferential operators (35S10)

Cites Work

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• \(L^2\)-exponential lower bounds to solutions of the Schrödinger equation
• Exponential bounds and absence of positive eigenvalues for N-body Schrödinger operators
• Super-exponential decay and holomorphic extensions for semilinear equations with polynomial coefficients
• Super-exponential Decay of Solutions to Differential Equations in ℝd
• Gelfand-Shilov Spaces, Pseudo-differential Operators and Localization Operators
• An introduction to semiclassical and microlocal analysis

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