Regularity and nonuniqueness results for parabolic problems arising in some physical models, having natural growth in the gradient
type: Item
instance of: scholarly article
title: Regularity and nonuniqueness results for parabolic problems arising in some physical models, having natural growth in the gradient
zbMATH Open document ID: 1166.35026
author: Boumediene Abdellaoui
author: Andrea Dall'Aglio
author: Ireneo Peral
published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série
publication date: 2008-10-30T00:00:00Z
Mathematics Subject Classification ID: 35K60
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 35B05
Mathematics Subject Classification ID: 35B40
zbMATH DE Number: 5359437
zbMATH Keywords: viscous Hamilton-Jacobi equations
zbMATH Keywords: wild nonuniqueness
MaRDI profile type: Publication
full work available at URL: j.matpur.2008.04.004
OpenAlex ID: W1974857152
cites work: Existence and nonexistence results for a class of linear and semilinear parabolic equations related to some Caffarelli-Kohn-Nirenberg inequalities
cites work: Some remarks on elliptic problems with critical growth in the gradient
cites work: Existence and nonexistence results for quasilinear elliptic equations involving the \(p\)-Laplacian with a critical potential
cites work: Local behavior of solutions of quasilinear parabolic equations
cites work: The local theory for viscous Hamilton--Jacobi equations in Lebesgue spaces.
cites work: Nonlinear problems related to the Thomas-Fermi equation
cites work: Metastability in a flame front evolution equation
cites work: Renormalised solutions of nonlinear parabolic problems with L1 data: existence and uniqueness
cites work: Existence and uniqueness of a renormalized solution for a fairly general class of nonlinear parabolic problems
cites work: Q5696771
cites work: Nonlinear parabolic equations with measure data
cites work: Nonlinear elliptic and parabolic equations involving measure data
cites work: Existence results for some quasilinear parabolic equations
cites work: Q3842692
cites work: Global existence for some slightly super-linear parabolic equations with measure data
cites work: Q3433159
cites work: Nonlinear parabolic problems with a very general quadratic gradient term.
cites work: Q4487386
cites work: Parabolic capacity and soft measures for nonlinear equations
cites work: Q4399897
cites work: Nonlinear parabolic problems with critical growth and unbounded data
cites work: The Cauchy problem for \(u_{t}=\Delta u+| \nabla u|^q\)
cites work: Existence results for some quasilinear parabolic problems
cites work: Dynamic Scaling of Growing Interfaces
cites work: Some qualitative properties of solutions of quasilinear elliptic equations and applications
cites work: Q5562267
cites work: Complete blow up and global behaviour of solutions of \(u_t- \Delta u=g(u)\)
cites work: A harnack inequality for parabolic differential equations
cites work: Q4020939
cites work: Q3472463
cites work: On the stability or instability of the singular solution of the semilinear heat equation with exponential reaction term
cites work: Renormalized solutions of nonlinear parabolic equations with general measure data
cites work: Parabolic Capacity and Sobolev Spaces
cites work: Compact sets in the space \(L^ p(0,T;B)\)
cites work: Q5529888
DOI: 10.1016/J.MATPUR.2008.04.004
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description: scientific article; zbMATH DE number 5359437