Blow-up of solutions of semilinear Euler-Poisson-Darboux equations with nonlocal boundary conditions

DOI10.1016/S0096-3003(97)10171-0zbMath0934.35114OpenAlexW1986000250MaRDI QIDQ1294311

K. Appert

Publication date: 29 June 1999

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(97)10171-0

zbMATH Keywords

blow upsemilinear Euler-Poisson-Darboux equationfinite escape timeinitial nonlocal boundary-value problemordinary differential-inequality

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Euler-Poisson-Darboux equations (35Q05)

Related Items

Numerical study of distributed-order Bessel fractional derivative with application to Euler-Poisson-Darboux equation ⋮ Semilinear heat equation with absorption and a nonlocal boundary condition ⋮ Blow-up of solutions for semilinear heat equation with nonlinear nonlocal boundary condition ⋮ Unnamed Item ⋮ Blow-up problem for semilinear heat equation with absorption and a nonlocal boundary condition

Cites Work

• Growth of solutions of generalized nonlinear Euler-Poisson-Darboux- equations
• Behavior of solutions of Burgers' equation with nonlocal boundary conditions
• On Solutions of Nonlinear Wave Equations
• Monotonic decay of solutions of parabolic equations with nonlocal boundary conditions
• Behavior of solutions of Burgers’s equation with nonlocal boundary conditions. II
• Dynamics of reaction-diffusion equations with nonlocal boundary conditions
• Remarks on a paper by W. A. Day on a maximum principle under nonlocal boundary conditions