Life span bounds for reaction–diffusion equation with a space–time integral source term

Huo, Wentao; Fang, Zhong Bo

doi:10.1007/s00033-023-02008-7

Z. Angew. Math. Phys.

2023

DOI: 10.1007/s00033-023-02008-7

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Life span bounds for reaction–diffusion equation with a space–time integral source term

Wentao Huo

Zhong Bo Fang

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Cited by 3 publications

References 27 publications

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Life span of blowing-up solutions to the Cauchy problem for a time-fractional Schrödinger equation

Wang,

Zhou,

Pang

et al. 2023

J. Appl. Math. Comput.

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Life span of blowing-up solutions to the Cauchy problem for a time-fractional Schrödinger equation

Wang,

Zhou,

Pang

et al. 2023

J. Appl. Math. Comput.

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Blow-up for a Porous Medium Equation with Local Linear Boundary Dissipation

YANG,

LIU

2024

Wuhan Univ. J. Nat. Sci.

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This article investigates the blow-up behaviors for a porous medium equation with a superlinear source and local linear boundary dissipation. Making use of the concavity method, we establish sufficient conditions to guarantee the occurrence of the finite time blow-up phenomenon. Meanwhile, we show the existence of the finite time blow-up solutions for arbitrarily high initial energy. Finally, we derive the life span bounds (i.e., the lower and upper bounds of the blow-up time).

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Global Existence and Blow-up of Solutions for a Parabolic Equation with Nonlinear Memory and Absorption under Nonlinear Nonlocal Boundary Condition

Gladkov

2024

Lobachevskii J Math

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Life span bounds for reaction–diffusion equation with a space–time integral source term

Cited by 3 publications

References 27 publications

Life span of blowing-up solutions to the Cauchy problem for a time-fractional Schrödinger equation

Life span of blowing-up solutions to the Cauchy problem for a time-fractional Schrödinger equation

Blow-up for a Porous Medium Equation with Local Linear Boundary Dissipation

Global Existence and Blow-up of Solutions for a Parabolic Equation with Nonlinear Memory and Absorption under Nonlinear Nonlocal Boundary Condition

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