Genuinely nonlinear forward-backward ultra-parabolic equations
type: Item
instance of: scholarly article
title: Genuinely nonlinear forward-backward ultra-parabolic equations
zbMATH Open document ID: 1386.35243
author: I. V. Kuznetsov
publication date: 2017-12-13T00:00:00Z
Mathematics Subject Classification ID: 35K70
zbMATH DE Number: 6818270
zbMATH Keywords: entropy solution
zbMATH Keywords: forward-backward ultra-parabolic equation
zbMATH Keywords: kinetic formulation
MaRDI profile type: Publication
cites work: STRONG TRACES FOR AVERAGED SOLUTIONS OF HETEROGENEOUS ULTRA-PARABOLIC TRANSPORT EQUATIONS
cites work: Singular perturbations of forward-backward \(p\)-parabolic equations
cites work: An approximation of ultra-parabolic equations
cites work: Nonclassical problem for ultraparabolic equation in abstract spaces
cites work: Q3430845
cites work: Entropy solutions for nonlinear degenerate problems
cites work: Initial-boundary value problems for conservation laws with source terms and the Degasperis-Procesi equation
cites work: KINETIC DECOMPOSITION OF APPROXIMATE SOLUTIONS TO CONSERVATION LAWS: APPLICATION TO RELAXATION AND DIFFUSION-DISPERSION APPROXIMATIONS*
cites work: Nonexistence of global solutions for a class of two-time nonlinear evolution equations
cites work: Nonexistence results for the Cauchy problem for nonlinear ultraparabolic equations
cites work: Measure-valued solutions and well-posedness of multi-dimensional conservation laws in a bounded domain
cites work: Kinetic formulation of forward-backward parabolic equations
cites work: Strong traces for solutions to scalar conservation laws with general flux
cites work: Well-posedness for entropy solutions to multidimensional scalar conservation laws with a strong boundary condition
cites work: Q5686382
cites work: Velocity averaging -- a general framework
cites work: Homogeneous Dirichlet problems for quasilinear anisotropic degenerate parabolic-hyperbolic equations
cites work: A Kinetic Formulation of Multidimensional Scalar Conservation Laws and Related Equations
cites work: EXISTENCE OF STRONG TRACES FOR GENERALIZED SOLUTIONS OF MULTIDIMENSIONAL SCALAR CONSERVATION LAWS
cites work: EXISTENCE OF STRONG TRACES FOR QUASI-SOLUTIONS OF MULTIDIMENSIONAL CONSERVATION LAWS
cites work: Ultra-parabolic equations with rough coefficients. Entropy solutions and strong precompactness property
cites work: Ultra-parabolic \(H\)-measures and compensated compactness
cites work: Uniqueness and error estimates in first order quasilinear conservation laws via the kinetic entropy defect measure
cites work: Q4792090
cites work: Kinetic formulation for the Graetz-Nusselt ultra-parabolic equation
cites work: Q5294736
cites work: Q3376349
cites work: Strong traces for solutions of multidimensional scalar conservation laws
cites work: The homogeneous Dirichlet problems for quasilinear anisotropic degenerate parabolic-hyperbolic equations with \(L^p\) initial value
DOI: 10.17377/SEMI.2017.14.061
published in: Sibirskie Elektronnye Matematicheskie Izvestiya
description: scientific article; zbMATH DE number 6818270