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A Cauchy problem of parabolic equations with time-dependent coefficients.
- Source :
- Applicable Analysis; May2021, Vol. 100 Issue 6, p1272-1285, 14p
- Publication Year :
- 2021
-
Abstract
- In this paper, we study a Cauchy problem of parabolic equations with time-dependent coefficients. The critical Fujita exponents are determined by the exponents of components and dimension of domain and the coefficients. Moreover, we give the optimal classification of blow-up solutions which discriminates simultaneous and non-simultaneous blow-up of two components. At last, simultaneous blow-up rates are obtained. [ABSTRACT FROM AUTHOR]
- Subjects :
- EQUATIONS
CAUCHY problem
EXPONENTS
Subjects
Details
- Language :
- English
- ISSN :
- 00036811
- Volume :
- 100
- Issue :
- 6
- Database :
- Complementary Index
- Journal :
- Applicable Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 149672751
- Full Text :
- https://doi.org/10.1080/00036811.2019.1639045