Traveling wave solutions for some discrete quasilinear parabolic equations

DOI10.1016/S0362-546X(00)00242-XzbMath1092.34012OpenAlexW2003168072MaRDI QIDQ1348783

Sheng-Chen Fu, Shang-Yau Shieh, Jong-Shenq Guo

Publication date: 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(00)00242-x

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Theoretical approximation of solutions to ordinary differential equations (34A45) Ordinary differential equations of infinite order (34A35) Boundary value problems on infinite intervals for ordinary differential equations (34B40)

Related Items (11)

Spreading speeds and transition fronts of lattice KPP equations in time heterogeneous media ⋮ Transition fronts in nonlocal Fisher-KPP equations in time heterogeneous media ⋮ Traveling waves for discrete reaction-diffusion equations in the general monostable case ⋮ Velocity diagram of traveling waves for discrete reaction-diffusion equations ⋮ Uniqueness of traveling waves for a two-dimensional bistable periodic lattice dynamical system ⋮ Existence of traveling wavefronts of nonlocal delayed lattice differential equations ⋮ Existence and uniqueness of traveling waves for a monostable 2-D lattice dynamical system ⋮ Existence and asymptotic stability of traveling waves of discrete quasilinear monostable equations ⋮ Existence of travelling waves in a lattice dynamical system ⋮ Wave propagation and its stability for a class of discrete diffusion systems ⋮ On the minimal solutions of variational inequalities in Orlicz-Sobolev spaces

Cites Work

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• Traveling waves in lattice dynamical systems
• The Fredholm alternative for functional-differential equations of mixed type
• The global structure of traveling waves in spatially discrete dynamical systems
• Asymptotic and periodic boundary value problems of mixed FDEs and wave solutions of lattice differential equations
• Wavefronts for a cooperative tridiagonal system of differential equations
• Nagumo's equation
• Traveling wave solutions for some density dependent diffusion equations
• Stability of Traveling Wavefronts for the Discrete Nagumo Equation
• Dynamics in a Discrete Nagumo Equation: Spatial Topological Chaos

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