Weakly coupled reaction-diffusion systems with rapidly growing nonlinearities and singular initial data

DOI10.1016/j.na.2019.111576zbMath1425.35087OpenAlexW2965216325MaRDI QIDQ2278487

Masamitsu Suzuki, Yasuhito Miyamoto

Publication date: 5 December 2019

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2019.111576

zbMATH Keywords

local in time solutionsexistence and nonexistenceweakly coupled parabolic systemsuperexponential nonlinearity

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for second-order parabolic systems (35K45) Comparison principles in context of PDEs (35B51)

Related Items (3)

Local existence and nonexistence for fractional in time reaction-diffusion equations and systems with rapidly growing nonlinear terms ⋮ Local existence and nonexistence for fractional in time weakly coupled reaction-diffusion systems ⋮ A numerical algorithm based on modified orthogonal linear spline for solving a coupled nonlinear inverse reaction-diffusion problem

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