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arXiv · 1808.06312

Existence of asymptotic speed of solutions to birth and spread type nonlinear partial differential equations

Yoshikazu Giga·Hiroyoshi Mitake·Takeshi Ohtsuka·Hung V. Tran
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Abstract

In this paper, we prove the existence of asymptotic speed of solutions to fully nonlinear, possibly degenerate parabolic partial differential equations in a general setting. We then give some explicit examples of equations in this setting and study further properties of the asymptotic speed for each equation. Some numerical results concerning the asymptotic speed are presented.

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Yoshikazu Giga, Hiroyoshi Mitake, Takeshi Ohtsuka, Hung V. Tran. 2018-08-20. Existence of asymptotic speed of solutions to birth and spread type nonlinear partial differential equations. https://arxiv.org/abs/1808.06312

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