Journal
APPLICABLE ANALYSIS
Volume 101, Issue 6, Pages 1871-1879Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/00036811.2020.1789597
Keywords
Evolution heat equation; positive initial energy; blow-up; blow-up time; Sobolev spaces with variable exponents
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This paper deals with the blow-up phenomena of the solutions to an evolution heat equation with nonlinearities of variable exponent type. For a certain solution with positive initial energy, an upper bound for blow-up time is determined if the solutions blow-up.
This paper deals with the blow-up phenomena of the solutions to an evolution heat equation with nonlinearities of variable exponent type. For a certain solution with positive initial energy, an upper bound for blow-up time is determined if the solutions blow-up.
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