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Non-existence of local solutions of semilinear heat equations of Osgood type in bounded domains (2014)
Journal Article
Laister, R., Robinson, J. C., & Sierzega, M. (2014). Non-existence of local solutions of semilinear heat equations of Osgood type in bounded domains. Comptes Rendus Mathématique, 352(7-8), 621-626. https://doi.org/10.1016/j.crma.2014.05.010

We establish a local non-existence result for the equation ut-δu=f(u) with Dirichlet boundary conditions on a smooth bounded domain Ω⊂Rn and initial data in Lq(Ω) when the source term f is non-decreasing and limsups→∞s-γf(s)=∞ for some exponent γ>q(1... Read More about Non-existence of local solutions of semilinear heat equations of Osgood type in bounded domains.