Local and global nonexistence of solutions to nonlinear hyperbolic inequalities

DOI10.1016/S0893-9659(03)00026-0zbMath1081.35165OpenAlexW2078523057MaRDI QIDQ1431898

Mohammed Guedda

Publication date: 11 June 2004

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0893-9659(03)00026-0

zbMATH Keywords

nonsolvability

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Partial differential inequalities and systems of partial differential inequalities (35R45) Second-order nonlinear hyperbolic equations (35L70)

Related Items (5)

Higher order evolution inequalities with nonlinear convolution terms ⋮ Existence and nonexistence criteria for a system of biharmonic wave inequalities in an exterior domain of ℝN ⋮ Nonexistence of positive entire solutions for a class of \((p,q)\)-Laplacian elliptic systems ⋮ Global nonexistence of solutions to degenerate parabolic equations in unbounded domains ⋮ Nonexistence of solutions for quasilinear hyperbolic inequalities

Cites Work

• Nonexistence of global solutions to semilinear wave equations in high dimensions
• Local and global solvability of a class of semilinear parabolic equations
• Finite-time blow-up for solutions of nonlinear wave equations
• Blow-up of solutions of nonlinear wave equations in three space dimensions
• On the critical decay and power for semilinear wave equations in odd space dimensions
• Existence and blow up of small amplitude nonlinear waves with a negative potential
• The equation u_tt − Δu = |u|^p for the critical value of p
• Biow-up of solutions of some nonlinear hyperbolic equations
• Weighted Strichartz estimates and global existence for semilinear wave equations
• Long-time existence for small amplitude semilinear wave equations
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