Fractional derivative estimates in Gevrey spaces, global regularity and decay for solutions to semilinear equations in \(\mathbb R^n\)
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Publication:1413201
DOI10.1016/S0022-0396(03)00197-9zbMath1160.35311OpenAlexW1966759206MaRDI QIDQ1413201
Todor Gramchev, Hebe A. Biagioni
Publication date: 16 November 2003
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0022-0396(03)00197-9
fractional derivativessemilinear equationsexponential decaypolynomial decaycommutator estimatesGevrey spacesiteration inequalitiesstrongly singular solutionsuniform Gevrey regularity
Related Items (17)
Semilinear pseudodifferential equations in spaces of tempered ultradistributions ⋮ Pointwise decay and smoothness for semilinear elliptic equations and travelling waves ⋮ Sharp decay estimates and smoothness for solutions to nonlocal semilinear equations ⋮ Entire extensions and exponential decay for semilinear elliptic equations ⋮ Holomorphic extension of solutions of semilinear elliptic equations ⋮ On the radius of spatial analyticity for semilinear symmetric hyperbolic systems ⋮ Regularity and decay of solutions of nonlinear harmonic oscillators ⋮ Liftings for ultra-modulation spaces, and one-parameter groups of Gevrey-type pseudo-differential operators ⋮ Global in time solutions of evolution equations in scales of Banach function spaces in \(\mathbb R^n\) ⋮ Iterates of operators and Gelfand–Shilov classes ⋮ SG-pseudodifferential operators and Gelfand-Shilov spaces ⋮ Sub-Exponential Decay and Uniform Holomorphic Extensions for Semilinear Pseudodifferential Equations ⋮ Super-exponential decay and holomorphic extensions for semilinear equations with polynomial coefficients ⋮ Decay and regularity for harmonic oscillator-type equations ⋮ Infinite Order Pseudo-Differential Operators ⋮ Anisotropic Shubin operators and eigenfunction expansions in Gelfand-Shilov spaces ⋮ Decay estimates for solutions of nonlocal semilinear equations
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