Blow up of mild solutions of a system of partial differential equations\n with distinct fractional diffusions

2012/08/20 by José Villa‐Morales, Villa-Morales, José
Computer Science · Mathematics · #35K20 #35K45 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #Differential Equations and Boundary Problems #Differential Equations and Numerical Methods #FOS: Mathematics #Nonlinear Differential Equations Analysis #Primary (35K55) #Secondary (35B40)

paper · pdf · doi:10.48550/arxiv.1208.4001

openalex publication_date 2012/08/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a sufficient condition for blow up of positive mild solutions to an\ninitial value problem for a nonautonomous weakly coupled system with distinct\nfractional diffusions. The proof is based on the study of blow up of a\nparticular system of ordinary differential equations.\n

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