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Abstract and Applied Analysis
Volume 2005, Issue 2, Pages 87-94
http://dx.doi.org/10.1155/AAA.2005.87

Blow-up of solutions of a semilinear heat equation with a memory term

Mathematical Sciences Department, King Fahd University of Petroleum & Minerals, Dhahran 31261, Saudi Arabia

Received 26 May 2004

Copyright © 2005 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Citations to this Article [8 citations]

The following is the list of published articles that have cited the current article.

  • Gongwei Liu, and Hua Chen, “Global and blow-up of solutions for a quasilinear parabolic system with viscoelastic and source terms,” Mathematical Methods in the Applied Sciences, 2013. View at Publisher · View at Google Scholar
  • Kairi Kasemets, and Jaan Janno, “Inverse Problems for a Parabolic Integrodifferential Equation in a Convolutional Weak Form,” Abstract and Applied Analysis, vol. 2013, pp. 1–16, 2013. View at Publisher · View at Google Scholar
  • Yuzhu Han, Wenjie Gao, and Haixia Li, “Blow-up of solutions to a semilinear heat equation with a viscoelastic term and a nonlinear boundary flux,” Comptes Rendus Mathematique, vol. 353, no. 9, pp. 825–830, 2015. View at Publisher · View at Google Scholar
  • Le Thi Phuong Ngoc, Nguyen Van Y, Tran Minh Thuyet, and Nguyen Thanh Long, “On a nonlinear heat equation with viscoelastic term associated with Robin conditions,” Applicable Analysis, pp. 1–20, 2016. View at Publisher · View at Google Scholar
  • Jian Dang, Qingying Hu, Suxia Xia, and Hongwei Zhang, “Exponential Growth of Solution for a Class of Reaction Diffusion Equation with Memory and Multiple Nonlinearities,” Research in Applied Mathematics, vol. 1, 2017. View at Publisher · View at Google Scholar
  • Haixia Li, and Yuzhu Han, “Blow-up of solutions to a viscoelastic parabolic equation with positive initial energy,” Boundary Value Problems, vol. 2017, no. 1, 2017. View at Publisher · View at Google Scholar
  • Shuying Tian, “Bounds for blow-up time in a semilinear parabolic problem with viscoelastic term,” Computers & Mathematics with Applications, 2017. View at Publisher · View at Google Scholar
  • Abdelkader Braik, Yamina Miloudi, and Khaled Zennir, “A finite-time blow-up result for a class of solutions with positive initial energy for coupled system of heat equations with memories,” Mathematical Methods in the Applied Sciences, 2017. View at Publisher · View at Google Scholar