Abstract
A nonlinear viscoelastic plate equation with variable exponents have been discussed in the present paper. Under various suitable condition on variable exponents, we investigate the existence of weak solutions and a finite time blow up result of solutions with negative initial energy as well as positive initial energy.
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Acknowledgements
The authors would like to thanks the referee for relevant remarks and comments which improved the final version of the paper. Also the authors would like to thanks Pr. Abdelebaki Choucha and Pr. Rashid Jan for their help to improve the final version of the article.
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Yılmaz, N., Pişkin, E. & Boulaaras, S. Viscoelastic plate equation with variable exponents: existence and blow-up. J Anal (2024). https://doi.org/10.1007/s41478-024-00765-w
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DOI: https://doi.org/10.1007/s41478-024-00765-w