Analytic estimates and rigorous continuation for equilibria of higher-dimensional PDEs
type: Item
instance of: scholarly article
title: Analytic estimates and rigorous continuation for equilibria of higher-dimensional PDEs
zbMATH Open document ID: 1256.35196
author: Marcio Gameiro
author: Jean-Philippe Lessard
published in: Journal of Differential Equations
publication date: 2010-10-22T00:00:00Z
Mathematics Subject Classification ID: 35B45
Mathematics Subject Classification ID: 35K90
Mathematics Subject Classification ID: 35B60
zbMATH DE Number: 5804430
zbMATH Keywords: Cahn-Hilliard equation
zbMATH Keywords: Swift-Hohenberg equation
zbMATH Keywords: validated continuation technique
zbMATH Keywords: radii polynomials
MaRDI profile type: Publication
full work available at URL: j.jde.2010.07.002
OpenAlex ID: W2010626922
cites work: Multiple solutions for a semilinear boundary value problem: a computational multiplicity proof.
cites work: Rigorous Numerics for Global Dynamics: A Study of the Swift--Hohenberg Equation
cites work: Validated Continuation for Equilibria of PDEs
cites work: Rigorous numerics for the Cahn-Hilliard equation on the unit square
cites work: Verified numerical computation of solutions for the stationary Navier-Stokes equation in nonconvex polygonal domains
cites work: Rigorous numerics for partial differential equations: The Kuramoto-Sivashinsky equation
cites work: A Numerical Verification Method for Solutions of Boundary Value Problems with Local Uniqueness by Banach's Fixed-Point Theorem
cites work: Validated continuation over large parameter ranges for equilibria of PDEs
cites work: Chaotic Braided Solutions via Rigorous Numerics: Chaos in the Swift–Hohenberg Equation
cites work: Global smooth solution curves using rigorous branch following
cites work: Recent advances about the uniqueness of the slowly oscillating periodic solutions of Wright's equation
cites work: Q1110275
cites work: Free Energy of a Nonuniform System. I. Interfacial Free Energy
DOI: 10.1016/J.JDE.2010.07.002
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description: scientific article; zbMATH DE number 5804430