Work

Finite-Time Blow-Up for Wave Equations with Nonlinear \(p\)-Laplacian Damping

Year: 2026

Type: preprint

Abstract: We consider a wave equation with linear elasticity, nonlinear \(p\)-Laplacian damping acting on the velocity, and a focusing power source in a bounded three-dimensional domain. For \(23\), without assuming \(W_0^{1,p}(Ω)\) regularity of the initial displacement.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.33700

Authors: Liao, Menglan, Zhang, Mingxue

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: green

Funders: National Natural Science Foundation of China, Natural Science Foundation of Jiangsu Province

Awards: G3936358944, G4752914520

OpenAlex ID: W7224002398

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