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Anisotropic nonlocal diffusion equations with singular forcing. (arXiv:1810.07499v1 [math.AP])
来源于:arXiv
We prove existence, uniqueness and regularity of solutions of nonlocal heat
equations associated to anisotropic stable diffusion operators. The main
features are that the right-hand side has very few regularity and that the
spectral measure can be singular in some directions. The proofs require having
good enough estimates for the corresponding heat kernels and their derivatives. 查看全文>>