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Solution formulas for some nonlocal heat equations

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초록

We obtain solution formulas for some nonlocal heat equations. As a simple application, we prove finite time blow-up of the solution.

Abstract

We obtain solution formulas for some nonlocal heat equations. As a simple application, we prove finite time blow-up of the solution.

참고문헌 (2)

  1. M. Alfaro, "Explicit solutions for replicator-mutator equations: extinction versus acceleration", SIAM J. Appl. Math, 74(6), pp.1919~1934 (2014)
  2. P. Souplet, "Gradient blow-up for multidimensional nonlinear parabolic equations with general boundary conditions", Differential Integral Equations, 15(2), pp.237~256 (2002)

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