A rigorous integrator and global existence for higher-dimensional semilinear parabolic PDEs via semigroup theory

arXiv2402.00406MaRDI QIDQ6519868

Gabriel William Duchesne, Jean-Philippe Lessard, Akitoshi Takayasu

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) General methods in interval analysis (65G40) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Semilinear parabolic equations with Laplacian, bi-Laplacian or poly-Laplacian (35K91)

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