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STUDIA MATHEMATICA - Issue no. 1 / 2023 | |||||||
Article: |
LOCAL EXISTENCE AND BLOW UP OF SOLUTIONS TO A LOGARITHMIC NONLINEAR WAVE EQUATION WITH TIME-VARYING DELAY. Authors: ABDELBAKI CHOUCHA, DJAMEL OUCHENANE. |
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Abstract:
DOI: 10.24193/subbmath.2023.1.13 Published Online: 2023-03-20 Published Print: 2023-04-30 pp. 171-187 VIEW PDF FULL PDF In this work, we are concerned with a problem of a logarithmic nonlinear wave equation with time-varying delay term. We established the local existence result and we proved a blow up result for the solution with negative initial energy under suitable conditions. This improves earlier results in the literature [11] for time-varying delay. Mathematics Subject Classification (2010): 35B05, 35B40, 35Q99, 73C99. Keywords: Wave equation, blow up, logarithmic source, varying delay term.
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