Exponential estimates and holomorphic extensions for semilinear elliptic pseudodifferential equations
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Publication:3096897
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
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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