Nonlinear parabolic equations for measures

DOI10.1134/S1064562412060099zbMath1491.35421MaRDI QIDQ1945198

Stanislav V. Shaposhnikov, Oxana A. Manita

Publication date: 3 April 2013

Published in: Doklady Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Convergence of probability measures (60B10) PDEs with measure (35R06)

Related Items (2)

On the Discretization of Some Nonlinear Fokker--Planck--Kolmogorov Equations and Applications ⋮ On uniqueness of solutions to nonlinear Fokker-Planck-Kolmogorov equations

Cites Work

• Nonlinear elliptic equations for measures
• Nonlinear evolution and transport equations for measures
• Ordinary differential equations, transport theory and Sobolev spaces
• Product of commuting spectral measures need not be countably additive
• Kinetic equilibration rates for granular media and related equations: entropy dissipation and mass transportation estimates
• On uniqueness problems related to the Fokker-Planck-Kolmogorov equation for measures
• A certain class of diffusion processes associated with nonlinear parabolic equations
• Blow-up in multidimensional aggregation equations with mildly singular interaction kernels

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