PDF files of articles are only available for institutions which have paid for the online version upon signing an Institutional User License.

On the decay and global nonexistence of solutions to a damped wave equation with variable-exponent nonlinearity and delay

Volume 122 / 2019

Mohammad Kafini, Salim Messaoudi Annales Polonici Mathematici 122 (2019), 49-70 MSC: 35B35, 35B40, 35L05, 74H35. DOI: 10.4064/ap180524-31-10 Published online: 21 March 2019

Abstract

In this work, we are concerned with a delayed nonlinear wave equation with variable exponents. In the absence of the source term, we prove a decay result, while in the presence of the source term, we prove a global nonexistence result. In addition, in the latter case, the life span time is estimated.

Authors

  • Mohammad KafiniDepartment of Mathematics and Statistics
    KFUPM
    Dhahran 31261, Saudi Arabia
    e-mail
  • Salim MessaoudiDepartment of Mathematics and Statistics
    KFUPM
    Dhahran 31261, Saudi Arabia
    and
    Department of Mathematics
    University of Sharjah
    P.O. Box 27272
    Sharjah, UAE
    e-mail
    e-mail

Search for IMPAN publications

Query phrase too short. Type at least 4 characters.

Rewrite code from the image

Reload image

Reload image