Asymptotic Properties for a Semilinear Edge-Degenerate Parabolic Equation

Abstract

The author deals with a semi-linear edge-degenerate parabolic equation, and proves that the solution increases exponentially under the initial energy J(u ₀) ≤ d, where d is the mountain-pass level. Moreover, the author estimates the blow-up time and the blow-up rate for the solution under J(u ₀) < 0.

Keywords

Semilinear edge-degenerate parabolic equation / Exponential increase / Potential well method

References

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