Instantaneous shrinking of the support of solutions to parabolic equations with a singular absorption

Dao, Nguyen Anh

doi:10.1007/s13398-020-00896-2

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Introduction and Main Results1

Global Existence and Blow-up1

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2021

2022

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Cited by 2 publications

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“…In 2020, Dao [19] studied the instantaneous shrinking of the support for solutions to parabolic problems.…”

Section: Introduction and Main Resultsmentioning

confidence: 99%

See 1 more Smart Citation

Analysis of Solutions to a Parabolic System with Absorption

Liu

2022

Symmetry

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In this paper, we investigate the blow-up rate and global existence of solutions to a parabolic system with absorption under the homogeneous Dirichlet boundary. By using the comparison principle and super-sub solution method, we obtain some sufficient conditions for the global existence and blow-up in finite time of solutions and establish some estimates of the upper and lower bounds of the blow-up rates. For the special case, if the domain is symmetric, for example, if it is a ball, the results of this paper also hold.

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“…In 2020, Dao [19] studied the instantaneous shrinking of the support for solutions to parabolic problems.…”

Section: Introduction and Main Resultsmentioning

confidence: 99%

“…Next, we choose an appropriate α 1 , α 2 to satisfy ( 18) and (19). It is clear that there exist α 1 > p+1 pq−1 and α 2 > q+1 pq−1 , solving the inequalities…”

Section: Global Existence and Blow-upmentioning

confidence: 99%