Behavior of solutions to the initial-value problem for a class of integro-differential equations

DOI10.1016/S0362-546X(01)00801-XzbMath1005.45006OpenAlexW2055519167MaRDI QIDQ1612620

Kôhei Uchiyama

Publication date: 25 August 2002

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(01)00801-x

zbMATH Keywords

initial value problemequation of motionporous medium equationnonlinear integro-differential equationfinite speed of propagationBarenblatt solutionnon-negative solutionslarge dynamical systemspotential of long rangeshifting comparison principle

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Other nonlinear integral equations (45G10) Flows in porous media; filtration; seepage (76S05) Asymptotics of solutions to integral equations (45M05) Positive solutions of integral equations (45M20)

Cites Work

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• Scaling limit for a mechanical system of interacting particles. II
• Interacting Brownian particles and the Wigner law
• Scaling limit for a mechanical system of interacting particles
• Asymptotic Behaviour and Propagation Properties of the One-Dimensional Flow of Gas in a Porous Medium
• A Brownian-Motion Model for the Eigenvalues of a Random Matrix
• The Asymptotic Behavior of Gas in an n-Dimensional Porous Medium
• A Non-Linear Evolution Equation Driven By Logarithmic Potential
• Uniqueness of solutions to the initial value problem for an integro-differential equation

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