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STUDIA MATHEMATICA - Issue no. 4 / 2022 | |||||||
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BLOW-UP RESULTS FOR DAMPED WAVE EQUATION WITH FRACTIONAL LAPLACIAN AND NON LINEAR MEMORY. Authors: TAYEB HADJ KADDOUR, ALI HAKEM. |
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Abstract: DOI: 10.24193/subbmath.2022.4.04 Published Online: 2022-12-02 Published Print: 2022-12-30 pp. 717-730 VIEW PDF FULL PDF This paper is devoted to find the critical exponent in Fujita’s sense and to prove the blow-up results of solutions for the damped equation with fractional Laplacian and nonlinear memory. Mathematics Subject Classification (2010): 26A33, 35K55, 74G25, 74H35. Keywords: Damped wave equation, blow-up, Fujita’s exponent, fractional derivative. |
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