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http://dx.doi.org/10.4134/BKMS.b181101

TWO NEW BLOW-UP CONDITIONS FOR A PSEUDO-PARABOLIC EQUATION WITH LOGARITHMIC NONLINEARITY

Ding, Hang (School of Mathematics and Statistics Southwest University)
Zhou, Jun (School of Mathematics and Statistics Southwest University)

Publication Information

Bulletin of the Korean Mathematical Society / v.56, no.5, 2019 , pp. 1285-1296 More about this Journal

Abstract

This paper deals with the blow-up phenomenon of solutions to a pseudo-parabolic equation with logarithmic nonlinearity, which was studied extensively in recent years. The previous result depends on the mountain-pass level d (see (1.6) for its definition). In this paper, we obtain two blow-up conditions which do not depend on d. Moreover, the upper bound of the blow-up time is obtained.

Keywords

pseudo-parabolic equation; logarithmic nonlinearity; critical initial energy; blow-up;

Citations & Related Records

Reference

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