Heterogeneous stochastic scalar conservation laws with non-homogeneous Dirichlet boundary conditions

DOI10.1142/S021989161850011XzbMath1393.60069OpenAlexW2789071762MaRDI QIDQ3177384

Publication date: 24 July 2018

Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021989161850011x

zbMATH Keywords

entropy solution Itô's formula scalar conservation law

Mathematics Subject Classification ID

White noise theory (60H40) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Initial-boundary value problems for first-order hyperbolic equations (35L04)

Related Items (1)

Heterogeneous stochastic scalar conservation laws with non-homogeneous Dirichlet boundary conditions

Cites Work

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Stochastic scalar conservation laws driven by rough paths
On a stochastic nonlocal conservation law in a bounded domain
Stochastic conservation laws: weak-in-time formulation and strong entropy condition
A stochastic conservation law with nonhomogeneous Dirichlet boundary conditions
First order quasilinear equations with boundary conditions in the \(L^{\infty}\) framework
Stochastic scalar conservation laws
Scalar conservation laws with stochastic forcing
Regularities for semilinear stochastic partial differential equations
Continuous dependence on the nonlinearities of solutions of degenerate parabolic equations
On the uniqueness and stability of entropy solutions of nonlinear degenerate parabolic equations with rough coefficients
On \(L^ {p}\)-solutions of semilinear stochastic partial differential equations.
Existence and uniqueness results for semilinear stochastic partial differential equations
Impacts of noise on a class of partial differential equations
On nonlinear stochastic balance laws
Degenerate parabolic stochastic partial differential equations
The Dirichlet problem for a conservation law with a multiplicative stochastic perturbation
Scalar conservation laws with general boundary condition and continuous flux function
Kinetic formulation for heterogeneous scalar conservation laws
Continuous dependence estimate for conservation laws with Lévy noise
Quasilinear anisotropic degenerate parabolic equations with time-space dependent diffusion coefficients
Heterogeneous stochastic scalar conservation laws with non-homogeneous Dirichlet boundary conditions
A Moving Mesh Numerical Method for Hyperbolic Conservation Laws
Kruzkov’s estimates for scalar conservation laws revisited
On measure-valued solutions of the Cauchy problem for a first-order quasilinear equation
On a stochastic scalar conservation law
L¹Solutions to First Order Hyperbolic Equations in Bounded Domains
THE CAUCHY PROBLEM FOR CONSERVATION LAWS WITH A MULTIPLICATIVE STOCHASTIC PERTURBATION
A Regularity Result for Quasilinear Stochastic Partial Differential Equations of Parabolic Type
Analytic semigroups and optimal regularity in parabolic problems

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