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Research articles

ScienceAsia (): 371-374 |doi: 10.2306/scienceasia1513-1874...371


Blow-up in non-autonomous semilinear pseudoparabolic equations


Sujin Khomrutai, Nataphan Kitisin*

 
ABSTRACT:     We study the blow-up property for weak solutions to the Cauchy problem of non-autonomous semilinear pseudoparabolic equations. Given the growth bound of the non-autonomous coefficient, the Fujita-type critical exponent is obtained.

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Department of Mathematics and Computer Science, Faculty of Science, Chulalongkorn University, Bangkok 10330 Thailand

* Corresponding author, E-mail: nataphan.k@chula.ac.th

Received 21 Apr 2014, Accepted 8 Sep 2014