Non-existence of local solutions of semilinear heat equations of Osgood type in bounded domains
(2014)
Journal Article
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.