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