Research on Mathematics and Science

Hülya Çelik; Hilal Kara; Mustafa Eken; Mehmet Akif Çetin; Şehmuz Asaf Başaran; Nurcihan Hacıoğlu Doğru; Nilay Korkmaz; Erkan Ağyüz; Ebubekir Akkoyunlu; Rabil Ayazoglu; Senem Çolak Yazıcı; Nükte Topraksever; Saliha Dalgıç; Kağan Veryer; Rahmi Dumlupınar; Özlem Barış; Özcan Şimşek; İdil Karaca Açarı; Orhan Uluçay; Adile Akpınar

doi:10.58830/ozgur.pub81

Blow-up for some semilinear parabolic problems with generalized sources
Chapter from the book: Akpınar, A. (ed.) 2023. Research on Mathematics and Science.

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Ebubekir Akkoyunlu

Bayburt University

Rabil Ayazoglu

Bayburt University

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Synopsis

In this paper, we establish some conditions on parameter β to guarantee the existence of non-global solutions for the semilinear parabolic problems involving generalized sources with reaction terms of local and nonlocal type and derive the upper bounds for the blow-up time and a criterion for blow-up. Moreover, we obtain the bounded of solutions under the suitable condition on parameter β.

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Mathematic Science Research

How to cite this book

Akkoyunlu, E. & Ayazoglu, R. (2023). Blow-up for some semilinear parabolic problems with generalized sources. In: Akpınar, A. (ed.), Research on Mathematics and Science. Özgür Publications. DOI: https://doi.org/10.58830/ozgur.pub81.c470

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This work is licensed under a Creative Commons Attribution 4.0 International License.

Published

March 24, 2023

DOI

https://doi.org/10.58830/ozgur.pub81.c470

Blow-up for some semilinear parabolic problems with generalized sources Chapter from the book: Akpınar, A. (ed.) 2023. Research on Mathematics and Science.