Nonexistence of solutions for quasilinear hyperbolic inequalities

DOI10.1186/S13660-021-02685-WzbMath1504.35197OpenAlexW3198660554WikidataQ115519118 ScholiaQ115519118MaRDI QIDQ2072947

Zhong Bo Fang, Suping Xiao

Publication date: 26 January 2022

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-021-02685-w

zbMATH Keywords

nonexistencetest functionnonlocal singular sourcequasilinear hyperbolic inequality

Mathematics Subject Classification ID

Initial value problems for second-order hyperbolic equations (35L15) Second-order quasilinear hyperbolic equations (35L72) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53) Unilateral problems for hyperbolic systems and systems of variational inequalities with hyperbolic operators (35L87)

Related Items (2)

Nonexistence of solutions to higher order evolution inequalities with nonlocal source term on Riemannian manifolds ⋮ Existence and nonexistence criteria for a system of biharmonic wave inequalities in an exterior domain of ℝN

Cites Work

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• Finite-time blow-up for solutions of nonlinear wave equations
• Local and global nonexistence of solutions to nonlinear hyperbolic inequalities
• Existence and blow up of small amplitude nonlinear waves with a negative potential
• The absence of global positive solutions of quasilinear elliptic inequalities
• Blow-up of solutions of nonlinear wave equations in three space dimensions
• Continuation of blowup solutions of nonlinear heat equations in several space dimensions
• Absence of solutions of differential inequalities and systems of hyperbolic type in conic domains

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