Blow-up of energy solutions for the semilinear generalized Tricomi equation with nonlinear memory term
From MaRDI portal
Publication:2671117
DOI10.3934/math.2021634OpenAlexW3193121777MaRDI QIDQ2671117
Wenjing Zhi, Jincheng Shi, Jianye Xia
Publication date: 3 June 2022
Published in: AIMS Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/math.2021634
Critical exponents in context of PDEs (35B33) Blow-up in context of PDEs (35B44) Second-order semilinear hyperbolic equations (35L71)
Cites Work
- On the blow-up criterion of strong solutions for the MHD equations with the Hall and ion-slip effects in \({\mathbb{R}^{3}}\)
- On the global solution problem for semilinear generalized Tricomi equations. I
- Blow-up for semilinear damped wave equations with subcritical exponent in the scattering case
- Blow-up of solutions to Nakao's problem via an iteration argument
- Nonlinear scattering theory at low energy
- Critical curve for \(p\)-\(q\) systems of nonlinear wave equations in three space dimensions
- A construction of patterns with many critical points on topological tori
- The Cauchy problem for the Moore-Gibson-Thompson equation in the dissipative case
- A blow-up result for a generalized Tricomi equation with nonlinearity of derivative type
- Small data blow-up for the weakly coupled system of the generalized Tricomi equations with multiple propagation speeds
- Nonexistence of global solutions for generalized Tricomi equations with combined nonlinearity
- Nonexistence of global solutions for the semilinear Moore - Gibson - Thompson equation in the conservative case
- Interplay effects on blow-up of weakly coupled systems for semilinear wave equations with general nonlinear memory terms
- A wave equation with structural damping and nonlinear memory
- Blow-up for a weakly coupled system of semilinear damped wave equations in the scattering case with power nonlinearities
- Error analysis of Jacobi spectral Galerkin and multi-Galerkin methods for weakly singular Volterra integral equations
- Finite time blow up for critical wave equations in high dimensions
- On semilinear Tricomi equations with critical exponents or in two space dimensions
- An equation whose Fujita critical exponent is not given by scaling
- The influence of a nonlinear memory on the damped wave equation
- On the Strauss index of semilinear Tricomi equation
- Blow-up result for a semilinear wave equation with a nonlinear memory term
- Biow-up of solutions of some nonlinear hyperbolic equations