Spectral analysis and multidimensional stability of traveling waves for nonlocal Allen--Cahn equation.
DOI10.1016/S0022-247X(02)00205-6zbMath1121.35322OpenAlexW2042453016MaRDI QIDQ1856816
Publication date: 11 February 2003
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0022-247x(02)00205-6
Nonlinear parabolic equations (35K55) Equations involving nonlinear operators (general) (47J05) Stability in context of PDEs (35B35) Estimates of eigenvalues in context of PDEs (35P15) Partial functional-differential equations (35R10) Applications of operator theory to differential and integral equations (47N20)
Related Items (33)
Cites Work
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- Convergence to diffusion waves of solutions for viscous conservation laws
- Geometric theory of semilinear parabolic equations
- Traveling waves in a convolution model for phase transitions
- Existence, uniqueness, and asymptotic stability of traveling waves in nonlocal evolution equations
- Almost periodic traveling waves of nonlocal evolution equations
- The Existence of Travelling Wave Solutions of a Generalized Phase-Field Model
- Multidimensional Stability of Traveling Waves in a Bistable Reaction–Diffusion Equation, I
- Multidimensional Stability of Traveling Waves in a Bistable Reaction–Diffusion Equation, II
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