Blow-Up of the Solution for a Semilinear Parabolic Problem with a Mixed Source

Wai Yuen Chan ()
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Wai Yuen Chan: Department of Mathematics, Texas A&M University, Texarkana, TX 75503, USA

Mathematics, 2022, vol. 10, issue 17, 1-12

Abstract: A semilinear parabolic equation with the Dirichlet boundary condition is examined. The reaction source is a mixed nonlinear function. This paper investigates the existence and uniqueness of a solution. A sufficient condition for the solution being blow-up in finite time is found.

Keywords: blow-up; Dirac delta function; reaction functions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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