RN中有界域上的一类抛物方程非负径向解的爆破问题

易青; 邹新鹏

易青, 邹新鹏. RN中有界域上的一类抛物方程非负径向解的爆破问题[J]. 南昌航空大学学报(自然科学版), 2008, 22(2): 31-34.

引用本文:

易青, 邹新鹏. RN中有界域上的一类抛物方程非负径向解的爆破问题[J]. 南昌航空大学学报(自然科学版), 2008, 22(2): 31-34.

YI Qing, ZOU Xin-peng. Blow-up of nonnegative radial solutions for a family of parabolic equations in bounded domain in RN[J]. Journal of nanchang hangkong university(Natural science edition), 2008, 22(2): 31-34.

Citation:

YI Qing, ZOU Xin-peng. Blow-up of nonnegative radial solutions for a family of parabolic equations in bounded domain in RN[J]. Journal of nanchang hangkong university(Natural science edition), 2008, 22(2): 31-34.

RN中有界域上的一类抛物方程非负径向解的爆破问题

易青,
邹新鹏

Blow-up of nonnegative radial solutions for a family of parabolic equations in bounded domain in RN

摘要

摘要: 本文考虑了一类带有非线性梯度项的抛物方程非负径向解的爆破问题,证明了对于大初值,问题的非负径向解或者无界且不发生爆破,或者爆破发生.

Abstract: In this article,we consider the blow-up of nonnegative radial solutions for a family of parabolic equations with gradient nonlinearities and prove that the nonnegative radial solutions of the problem will either be unbounded and not blow up or blow up for large values of initial data.

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