Nonexistence of global weak solutions of nonlinear Keldysh type equation with one derivative term

DOI10.1155/2018/3931297zbMath1404.35067OpenAlexW2886543001WikidataQ129425093 ScholiaQ129425093MaRDI QIDQ1629196

Kang Qun Zhang

Publication date: 11 December 2018

Published in: Advances in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2018/3931297

zbMATH Keywords

singular initial value problemsingular initial-boundary value problemanalysis of the first Fourier coefficient

Mathematics Subject Classification ID

Degenerate parabolic equations (35K65) Blow-up in context of PDEs (35B44)

Related Items (2)

Applications of Erdélyi-Kober fractional integral for solving time-fractional Tricomi-Keldysh type equation ⋮ Well-posedness results and blow-up for a semi-linear time fractional diffusion equation with variable coefficients

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the existence and uniqueness of a generalized solution of the Protter problem for \((3+1)\)-D Keldysh-type equations
• The Dirichlet problem for elliptic-hyperbolic equations of Keldysh type
• Nonexistence of global solutions to semilinear wave equations in high dimensions
• Global nonexistence of solutions to a semilinear wave equation in the Minkowski space
• The fundamental solution of the Keldysh type operator
• Das Anfangswertproblem im Großen für eine Klasse nichtlinearer Wellengleichungen
• Global classical solutions of nonlinear wave equations
• Regularity and asymptotic behaviour of the wave equation with a critical nonlinearity
• On the nonexistence of global solutions to a nonlinear Euler-Poisson- Darboux equation
• Growth of solutions of generalized nonlinear Euler-Poisson-Darboux- equations
• Finite time blow up for critical wave equations in high dimensions
• Blow-up theorems for nonlinear wave equations
• On solutions of nonlinear wave equations
• Mixed type equations in gas dynamics
• Weighted Strichartz estimates and global existence for semilinear wave equations
• MIXED EQUATIONS AND TRANSONIC FLOW
• The Cauchy problem for semilinear hyperbolic equation with characteristic degeneration on the initial hyperplane
• On the growth of solutions of quasi‐linear parabolic equations

This page was built for publication: Nonexistence of global weak solutions of nonlinear Keldysh type equation with one derivative term