Blow-up and lifespan estimate for the generalized Tricomi equation with mixed nonlinearities
- 1 January 2021
- journal article
- research article
- Published by ISTE Group in Advances in Pure and Applied Mathematics
- Vol. 12 (Special) , 54-70
Abstract
We study in this article the blow-up of the solution of the generalized Tricomi equation in the presence of two mixed nonlinearities, namely we consider $$$(Tr) \hspace1cm u_tt-t^2m\Delta (...)Keywords
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This publication has 21 references indexed in Scilit:
- Blow‐up for wave equation with the scale‐invariant damping and combined nonlinearitiesMathematical Methods in the Applied Sciences, 2020
- Global existence and lifespan for semilinear wave equations with mixed nonlinear termsJournal of Differential Equations, 2019
- On semilinear Tricomi equations with critical exponents or in two space dimensionsJournal of Differential Equations, 2017
- On the global solution problem for semilinear generalized Tricomi equations, ICalculus of Variations and Partial Differential Equations, 2017
- Combined effects of two nonlinearities in lifespan of small solutions to semi-linear wave equationsMathematische Annalen, 2015
- Blow Up of Solutions to Semilinear Wave Equations with Critical Exponent in High Dimensions*Chinese Annals of Mathematics, Series B, 2007
- Finite time blow up for critical wave equations in high dimensionsJournal of Functional Analysis, 2006
- Nonlinear scattering theory at low energyJournal of Functional Analysis, 1981
- Blow‐up for quasi‐linear wave equations in three space dimensionsCommunications on Pure and Applied Mathematics, 1981
- Blow-up of solutions of nonlinear wave equations in three space dimensionsmanuscripta mathematica, 1979