Global existence for a class of triangular parabolic systems on domains of arbitrary dimension

DOI10.1090/S0002-9939-05-07867-6zbMath1068.35042MaRDI QIDQ4663450

Dung Le, Toan T. Nguyen

Publication date: 31 March 2005

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

strong coupling\(L^\infty\) estimates

Mathematics Subject Classification ID

Related Items (13)

Entropic structure and duality for multiple species cross-diffusion systems ⋮ The existence of a compact global attractor for a class of competition model ⋮ Evolution of cross-diffusion and self-diffusion ⋮ Reaction-diffusion-advection models for the effects and evolution of dispersal ⋮ Global stability in ``delay systems with cross-diffusions dominated by self-diffusions ⋮ Effects of spatial heterogeneity and homogeneity on an S-K-T competition model ⋮ Positive steady states of the S-K-T competition model with spatially heterogeneous interactions ⋮ On global existence of solutions to a cross-diffusion system ⋮ The existence of a global attractor for the S-K-T competition model with self-diffusion ⋮ Global existence of solutions to Shigesada-Kawasaki-Teramoto cross-diffusion systems on domains of arbitrary dimensions ⋮ From Nonlocal to Classical Shigesada--Kawasaki--Teramoto Systems: Triangular Case with Bounded Coefficients ⋮ Regularity of BMO weak solutions to nonlinear parabolic systems via homotopy ⋮ Gradient Estimates and Global Existence of Smooth Solutions to a Cross-Diffusion System

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Invariant sets for strongly coupled reaction-diffusion systems under general boundary conditions
• Dynamic theory of quasilinear parabolic systems. III: Global existence
• Direct and indirect effects of invasions of predators on a multiple- species community
• Existence of global solutions for the Shigesada-Kawasaki-Teramoto model with strongly coupled cross-diffusion
• Invariant regions for quasilinear reaction-diffusion systems and applications to a two population model
• Uniform boundedness and convergence of solutions to cross-diffusion systems
• Global existence for a class of strongly coupled parabolic systems
• Global solution to some quasilinear parabolic system in population dynamics
• Cross Diffusion Systems on 2 Spatial Dimensional Domains

This page was built for publication: Global existence for a class of triangular parabolic systems on domains of arbitrary dimension