Wave Equation with p(x,t) - Laplacian and Damping Term: Existence and Blow-up

By Stanislav N. Antontsev. 2011

114 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Control and Systems Engineering, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/ee47907bffd203b67c1a5fe52085b3403ee35572

Citations in the corpus

• A blow-up result for a nonlinear wave equation with variable-exponent nonlinearities (2017, unknown): “In the case of variable exponent, we mention the work of Antontsev Stanislav [15], where he discussed the following problem ⎧⎪⎨ ⎪⎩ utt = div(a(x, t)|∇u|p(x,t)−2∇u) + α ut + b(x, t)|u|σ(x,t)−2u + f (x, t), in × (0,T) u(x, t) = 0, on ∂ × (0,T) u(x, 0) = u0(x), ut(x, 0) = u1(x), in , and proved the exi”