On unique solvability of nonlocal drift--diffusion-type problems.

DOI10.1016/j.na.2003.10.014zbMath1045.35013OpenAlexW1964663799MaRDI QIDQ1426710

Igor V. Skrypnik, Herbert Gajewski

Publication date: 15 March 2004

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/j.na.2003.10.014

zbMATH Keywords

bounded solutionsdegenerate typenon-standard assumptionsdiffusion-drift processesnonlocal interaction potentials

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Initial-boundary value problems for second-order parabolic equations (35K20) Degenerate parabolic equations (35K65) A priori estimates in context of PDEs (35B45)

Related Items

Local existence, uniqueness and smooth dependence for nonsmooth quasilinear parabolic problems

Cites Work

• Quasilinear elliptic-parabolic differential equations
• Phase segregation dynamics in particle systems with long range interactions. I: Macroscopic limits
• On the uniqueness of solutions for nonlinear elliptic-parabolic equations
• On a nonlocal phase separation model
• To the uniqueness problem for nonlinear parabolic equations.
• To the uniqueness problem for nonlinear elliptic equations
• On mild and weak solutions of elliptic-parabolic problems
• Phase Segregation Dynamics in Particle Systems with Long Range Interactions II: Interface Motion
• Global Behaviour of a Reaction-Diffusion System Modelling Chemotaxis
• Thermodynamic design of energy models of semiconductor devices
• Reaction—Diffusion Processes of Electrically Charged Species
• On the Cahn–Hilliard Equation with Degenerate Mobility
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item