- Volume 31 Issue 3
We obtain solution formulas for some nonlocal heat equations. As a simple application, we prove finite time blow-up of the solution.
nonlocal heat equation;solution formula
- M. Alfaro and R. Carles, Explicit solutions for replicator-mutator equations: extinction versus acceleration, SIAM J. Appl. Math. 74 (2014), no. 6, 1919-1934. https://doi.org/10.1137/140979411
- P. Souplet, Gradient blow-up for multidimensional nonlinear parabolic equations with general boundary conditions, Differential Integral Equations 15 (2002), no. 2, 237-256.
Supported by : National Research Foundation of Korea(NRF)