A blow-up result for a generalized Tricomi equation with nonlinearity of derivative type

DOI10.1007/S00032-021-00326-XzbMath1470.35079arXiv2007.12895OpenAlexW3159304136MaRDI QIDQ2044714

Alessandro Palmieri, Sandra Lucente

Publication date: 10 August 2021

Published in: Milan Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.12895

zbMATH Keywords

lifespanGlassey exponentsemilinear generalized Tricomi equation

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Integral representations of solutions to PDEs (35C15) Blow-up in context of PDEs (35B44) Second-order semilinear hyperbolic equations (35L71)

Related Items (10)

Blow-up and lifespan estimates for a damped wave equation in the Einstein-de Sitter spacetime with nonlinearity of derivative type ⋮ Finite time blow-up for a semilinear generalized Tricomi system with mixed nonlinearity ⋮ Blow-up and lifespan estimate for generalized Tricomi equations related to Glassey conjecture ⋮ Nonexistence result for the generalized Tricomi equation with the scale-invariant damping, mass term and time derivative nonlinearity ⋮ Blow-up of energy solutions for the semilinear generalized Tricomi equation with nonlinear memory term ⋮ Lifespan estimates for the compressible Euler equations with damping via Orlicz spaces techniques ⋮ A blow-up result for a Nakao-type weakly coupled system with nonlinearities of derivative-type ⋮ A note on the nonexistence of global solutions to the semilinear wave equation with nonlinearity of derivative-type in the generalized Einstein-de Sitter spacetime ⋮ 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

Uses Software

• DLMF

Cites Work

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• On the global solution problem for semilinear generalized Tricomi equations. I
• Fundamental solutions for the Klein-Gordon equation in de Sitter spacetime
• Nonexistence of global solutions of nonlinear wave equations with weak time-dependent damping related to Glassey's conjecture.
• The Glassey conjecture with radially symmetric data
• The self-similar solutions of the one-dimensional semilinear Tricomi-type equations
• Nonlinear scattering theory at low energy
• A note on a theorem of Jörgens
• Nonlinear Liouville theorems for Grushin and Tricomi operators.
• A competition between Fujita and Strauss type exponents for blow-up of semi-linear wave equations with scale-invariant damping and mass
• Conservation laws for equations of mixed elliptic-hyperbolic and degenerate types
• A note on the fundamental solution for the Tricomi-type equation in the hyperbolic domain
• A blow-up result for the semilinear Moore-Gibson-Thompson equation with nonlinearity of derivative type in the conservative case
• Nonexistence of global solutions for a weakly coupled system of semilinear damped wave equations of derivative type in the scattering case
• 4D semilinear weakly hyperbolic wave equations
• On semilinear Tricomi equations with critical exponents or in two space dimensions
• A blow-up result for a semilinear wave equation with scale-invariant damping and mass and nonlinearity of derivative type
• Global Existence with Large Data for a Nonlinear Weakly Hyperbolic Equation
• Large Data Solutions for Critical Semilinear Weakly Hyperbolic Equations
• Biow-up of solutions of some nonlinear hyperbolic equations
• Methods for Partial Differential Equations
• Critical exponents and where to find them
• A modified test function method for damped waves
• Blow up of solutions to the Cauchy problem for nonlinear wave equations

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