대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제31권3호
  • /
  • Pages.567-573
  • /
  • 2016
  • /
  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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SOLUTION FORMULAS FOR SOME NONLOCAL HEAT EQUATIONS

  • 투고 : 2015.10.28
  • 발행 : 2016.07.31
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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.

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과제정보

연구 과제 주관 기관 : National Research Foundation of Korea(NRF)

참고문헌

  1. 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
  2. P. Souplet, Gradient blow-up for multidimensional nonlinear parabolic equations with general boundary conditions, Differential Integral Equations 15 (2002), no. 2, 237-256.