The Cauchy problem for the Finsler heat equation
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Publication:784845
DOI10.1515/acv-2017-0048zbMath1445.35193arXiv1710.00456OpenAlexW2963575969MaRDI QIDQ784845
Goro Akagi, Kazuhiro Ishige, Ryuichi Sato
Publication date: 3 August 2020
Published in: Advances in Calculus of Variations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1710.00456
Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for second-order parabolic equations (35K15) Quasilinear parabolic equations (35K59)
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On the \(p\)-Laplacian evolution equation in metric measure spaces, Finsler Hardy inequalities, Initial traces and solvability for a semilinear heat equation on a half space of ℝ^{ℕ}, Quantitative description on initial trace for the solvability to heat equation with exponential boundary in unbounded domain, General framework to construct local-energy solutions of nonlinear diffusion equations for growing initial data, Solvability of the Heat Equation with a Nonlinear Boundary Condition, Initial traces and solvability of Cauchy problem to a semilinear parabolic system
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