Blowup at space infinity for solutions of a system of nonautonomous semilinear heat equations

Gabriela de Jesús Cabral-García, José Villa-Morales

Resultado de la investigación: Contribución a una revistaArtículo

Resumen

In this paper, we will see that the global or local existence of solutions to (Formula presented.) depends on the initial datums and the global or local existence of solutions to (Formula presented.) We also give some bounds for the maximal existence time of the partial differential system. Moreover, if such existence time is finite and (Formula presented.), then we will prove the partial differential system has solutions that blows up at space infinite.

Idioma originalInglés
Páginas (desde-hasta)903-919
Número de páginas17
PublicaciónMathematical Methods in the Applied Sciences
Volumen43
N.º2
DOI
EstadoAceptada/en prensa - 1 ene 2019

Huella dactilar

Semilinear Heat Equation
Blow-up
Local Existence
Infinity
Differential System
Global Existence
Existence of Solutions
Partial
Blow-up Solution
Hot Temperature

Citar esto

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Blowup at space infinity for solutions of a system of nonautonomous semilinear heat equations. / Cabral-García, Gabriela de Jesús; Villa-Morales, José.

En: Mathematical Methods in the Applied Sciences, Vol. 43, N.º 2, 30.01.2020, p. 903-919.

Resultado de la investigación: Contribución a una revistaArtículo

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AU - Villa-Morales, José

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KW - Osgood's criteria

KW - blowup at space infinity

KW - comparison theorem

KW - nonautonomous coupled heat equations

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