On the solvability of one boundary value problem for some semilinear wave equations with source terms

DOI10.1007/s00030-010-0087-9zbMath1218.35147OpenAlexW2073340778MaRDI QIDQ533627

Sergo Kharibegashvili, Bidzina Midodashvili

Publication date: 4 May 2011

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00030-010-0087-9

zbMATH Keywords

nonexistenceSobolev problemglobal and local solvabilityconic manifold

Mathematics Subject Classification ID

Integro-partial differential equations (35R09) Second-order semilinear hyperbolic equations (35L71)

Related Items (1)

One multidimensional version of the Darboux first problem for one class of semilinear second order hyperbolic systems

Cites Work

• Global well-posedness, scattering and blow-up for the energy-critical focusing non-linear wave equation
• Nonexistence of global solutions to semilinear wave equations in high dimensions
• Das Anfangswertproblem im Großen für eine Klasse nichtlinearer Wellengleichungen
• Blow-up of solutions of nonlinear wave equations in three space dimensions
• Global existence and global nonexistence of solutions of the Cauchy problem for a nonlinearly damped wave equation
• Lectures on nonlinear hyperbolic differential equations
• Blow up for nonlinear dissipative wave equations in \(\mathbb R^n\)
• Global existence of solutions for semilinear damped wave equations in \(\mathbb R^N\) with noncompactly supported initial data
• Global smooth solutions for the quasilinear wave equation with boundary dissipation
• On the existence or absence of global solutions for the multidimensional version of the second Darboux problem for some nonlinear hyperbolic equations
• On the nonexistence of global solutions of the characteristic Cauchy problem for a nonlinear wave equation in a conical domain
• On the solvability of one multidimensional version of the first Darboux problem for some nonlinear wave equations
• On the solvability of the Cauchy characteristic problem for a nonlinear equation with iterated wave operator in the principal part
• On the existence or the absence of global solutions of the Cauchy characteristic problem for some nonlinear hyperbolic equations
• Biow-up of solutions of some nonlinear hyperbolic equations
• Instability and Nonexistence of Global Solutions to Nonlinear Wave Equations of the Form Pu tt = -Au + ℱ(u)
• The global Cauchy problem for a relativistic scalar field with power interaction
• Global existence and nonexistence for a nonlinear wave equation with damping and source terms
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