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- W2891837131 abstract "We obtain asymptotic expansions of the spatially discrete 2D heat kernels, or Green's functions on lattices, with respect to powers of time variable up to an arbitrary order and estimate the remainders uniformly on the whole lattice. Unlike in the 1D case, the asymptotics contains a time independent term. The derivation of its spatial asymptotics is the technical core of the paper. Besides numerical applications, the obtained results play a crucial role in the analysis of spatio-temporal patterns for reaction-diffusion equations on lattices, in particular rattling patterns for hysteretic diffusion systems." @default.
- W2891837131 created "2018-09-27" @default.
- W2891837131 creator A5001662366 @default.
- W2891837131 date "2018-09-13" @default.
- W2891837131 modified "2023-09-27" @default.
- W2891837131 title "Asymptotics of the heat kernels on 2D lattices" @default.
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