Fractional derivative estimates in Gevrey spaces, global regularity and decay for solutions to semilinear equations in \(\mathbb R^n\)
type: Item
instance of: scholarly article
title: Fractional derivative estimates in Gevrey spaces, global regularity and decay for solutions to semilinear equations in \(\mathbb R^n\)
zbMATH Open document ID: 1160.35311
DOI: 10.1016/S0022-0396(03)00197-9
author: H. A. Biagioni
author: Todor Gramchev
published in: Journal of Differential Equations
publication date: 2003-11-16T00:00:00Z
Mathematics Subject Classification ID: 35A20
Mathematics Subject Classification ID: 35B65
zbMATH DE Number: 2003926
zbMATH Keywords: fractional derivatives
zbMATH Keywords: Gevrey spaces
zbMATH Keywords: semilinear equations
zbMATH Keywords: uniform Gevrey regularity
zbMATH Keywords: commutator estimates
zbMATH Keywords: iteration inequalities
zbMATH Keywords: polynomial decay
zbMATH Keywords: exponential decay
zbMATH Keywords: strongly singular solutions
MaRDI profile type: Publication
cites work: Solitary-Wave Solutions of the Benjamin Equation
cites work: Existence and stability of solitary wave solutions of the Benjamin equation
cites work: Model equations for long waves in nonlinear dispersive systems
cites work: Semilinear parabolic equations with singular initial data in anisotropic weighted spaces
cites work: Evolution PDE with elliptic dissipative terms: critical index for singular initial data, self-similar solutions and analytic regularity
cites work: Q4502716
cites work: Existence and asymptotic properties of solitary-wave solutions of Benjamin-type equations
cites work: Decay and analyticity of solitary waves
cites work: Hyperbolic equations, function spaces with exponential weights and Nemytskij operators
cites work: Pseudo-differential operators and Gevrey classes
cites work: A nonlinear heat equation with singular initial data
cites work: Q3941791
cites work: Nonuniqueness and Uniqueness in the Initial-Value Problem for Burgers’ Equation
cites work: Gevrey class regularity for the solutions of the Navier-Stokes equations
cites work: Q3923023
cites work: Nonlinear Goursat problem in Gevrey spaces for generalized Kirchhoff equations
cites work: Q4237973
cites work: Rapidly convergent iteration method for simultaneous normal forms of commuting maps
cites work: Solitary-wave solutions to a class of fifth-order model equations
cites work: Space analyticity for the Navier-Stokes and related equations with initial data in \(L^p\)
cites work: Travelling-waves for the FKPP equation via probabilistic arguments
cites work: Geometric theory of semilinear parabolic equations
cites work: Q5310742
cites work: Q4325525
cites work: On nonlinear Schrödinger equations. II: \(H^ S\)-solutions and unconditional well-posedness
cites work: Uniqueness of the stationary wave for the extended Fisher-Kolmogorov equation
cites work: Analyticity of Solitary-Wave Solutions of Model Equations for Long Waves
cites work: Steady solutions of the Kuramoto-Sivashinsky equation
cites work: Q4889626
cites work: Q4272018
cites work: Remark on the rate of decay of higher order derivatives for solutions to the Navier-Stokes equations in \(\mathbb{R}^n\)
cites work: Exponential decay of the solutions of quasilinear second-order equations and Pohozaev identities
cites work: Semilinear parabolic equations with distributions as initial data
cites work: Q4274290
cites work: Q4725211
cites work: How to measure smoothness of distributions on Riemannian symmetric manifolds and Lie group?
cites work: Front Propagation in Heterogeneous Media
full work available at URL: s0022-0396(03)00197-9
OpenAlex ID: W1966759206
description: scientific article; zbMATH DE number 2003926