30 citations · 86 across the 9 of their papers we have counts for
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math.AP2013★ 1 cited
Gaussian lower bounds on the Dirichlet heat kernel and non-existence of local solutions for semilinear heat equations of Osgood type
Robert Laister, James C. Robinson, Mikolaj Sierzega
We give a simple proof of a lower bound for the Dirichlet heat kernel in terms of the Gaussian heat kernel. Using this we establish a non-existence result for semilinear heat equat…
math.AP2013★ 18 cited
Non-existence of local solutions for semilinear heat equations of Osgood type
Robert Laister, James C. Robinson, Mikolaj Sierzega
We establish non-existence results for the Cauchy problem of some semilinear heat equations with non-negative initial data and locally Lipschitz, nonnegative source term . Globa…