SOLVING A NONLINEAR PSEUDO-DIFFERENTIAL EQUATION OF BURGERS TYPE

DOI10.1142/S0219493708002482zbMath1166.35389WikidataQ115245736 ScholiaQ115245736MaRDI QIDQ3597608

Alexander Potrykus, Jiang-Lun Wu, Niels Jacob

Publication date: 9 February 2009

Published in: Stochastics and Dynamics (Search for Journal in Brave)

zbMATH Keywords

symbolic calculusmild equationsBurgers type nonlinear pseudo-differential equations

Mathematics Subject Classification ID

Partial differential equations of mathematical physics and other areas of application (35Q99) Groups and semigroups of linear operators, their generalizations and applications (47D99) Pseudodifferential operators (47G30) Initial value problems for PDEs with pseudodifferential operators (35S10)

Related Items (4)

Solving a nonlinear fractional stochastic partial differential equation with fractional noise ⋮ Solving a non-linear stochastic pseudo-differential equation of Burgers type ⋮ Unnamed Item ⋮ \(L^p\)-maximal regularity of nonlocal parabolic equations and applications

Cites Work

• On a stochastic nonlinear equation arising from 1D integro-differential scalar conservation laws
• Semigroups of linear operators and applications to partial differential equations
• Hardy-Littlewood theory for semigroups
• Fractal Burgers equations
• Asymptotics for conservation laws involving Lévy diffusion generators
• Global and Exploding Solutions for Nonlocal Quadratic Evolution Problems
• Multifractal and Lévy conservation laws
• A MARKOV JUMP PROCESS APPROXIMATION OF THE STOCHASTIC BURGERS EQUATION
• Critical nonlinearity exponent and self-similar asymptotics for Lévy conservation laws

This page was built for publication: SOLVING A NONLINEAR PSEUDO-DIFFERENTIAL EQUATION OF BURGERS TYPE