Exponential estimates and holomorphic extensions for semilinear elliptic pseudodifferential equations

DOI10.1080/17476933.2010.534153zbMath1232.35200OpenAlexW2115085253MaRDI QIDQ3096897

Luigi Rodino, Marco Cappiello, Todor Gramchev

Publication date: 15 November 2011

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

Full work available at URL: https://doi.org/10.1080/17476933.2010.534153

zbMATH Keywords

holomorphic extensionssuper-exponential decaypseudodifferential elliptic equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Pseudodifferential operators as generalizations of partial differential operators (35S05) Nonlinear elliptic equations (35J60) Entire solutions to PDEs (35B08)

Cites Work

• Entire extensions and exponential decay for semilinear elliptic equations
• Complex powers of hypoelliptic pseudodifferential operators
• Ultracontractivity and the heat kernel for Schrödinger operators and Dirichlet Laplacians
• Pseudodifferential operators on ultra-modulation spaces.
• Super-exponential decay and holomorphic extensions for semilinear equations with polynomial coefficients
• Sub-Exponential Decay and Uniform Holomorphic Extensions for Semilinear Pseudodifferential Equations
• Classes of Degenerate Elliptic Operators in Gelfand-Shilov Spaces
• Gaussian decay for the eigenfunctions of a schrödinger operator with magnetic field constant at infinity
• Asymptotic behavior of the solutions of linear and quasilinear elliptic equations on $\mathbb {R}^{N}$
• Gaussian decay estimates for the eigenfunctions of magnetic schrödinger operators
• Characterizations of the Gelfand-Shilov spaces via Fourier transforms

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