Yılmaz, NebiPişkin, ErhanÇelik, Ercan2024-03-212024-03-212023Yılmaz, N., Pişkin, E. ve Çelik, E. (2023). Well-posedness and blow-up of solutions for a variable exponent nonlinear petrovsky equation. Advances in Mathematical Physics, 2023, 1-13.1687-9120https://www.hindawi.com/journals/amp/2023/8866861/https://hdl.handle.net/11468/13671In this article, we investigate a nonlinear Petrovsky equation with variable exponent and damping terms. First, we establish the local existence using the Faedo-Galerkin approximation method under the conditions of positive initial energy and appropriate constraints on the variable exponents p⋅ and q⋅. Finally, we prove a finite-time blow-up result for negative initial energy.eninfo:eu-repo/semantics/openAccessWell-posednessNonlinear petrovsky equationArticle2023113WOS:0011124382000012-s2.0-8517903405810.1155/2023/8866861Q2N/A