A mixed problem for quasilinear impulsive hyperbolic equations with non stationary boundary and transmission conditions.
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Aliev, Akbar B., Mamedova, Ulviya M. (2010)
Advances in Difference Equations [electronic only]
Khabirov, S.V. (2009)
Sibirskij Matematicheskij Zhurnal
S. Ibrahim, A. Lyaghfouri (2012)
Mathematical Modelling of Natural Phenomena
In this paper, we show finite time blow-up of solutions of the p−wave equation in ℝN, with critical Sobolev exponent. Our work extends a result by Galaktionov and Pohozaev [4]
Qilong Gu, Tatsien Li (2009)
Annales de l'I.H.P. Analyse non linéaire
Erhan Pişkin (2015)
Open Mathematics
We consider the existence, both locally and globally in time, the decay and the blow up of the solution for the extensible beam equation with nonlinear damping and source terms. We prove the existence of the solution by Banach contraction mapping principle. The decay estimates of the solution are proved by using Nakao’s inequality. Moreover, under suitable conditions on the initial datum, we prove that the solution blow up in finite time.
Ye, Yaojun (2010)
Advances in Difference Equations [electronic only]
Ye, Yaojun (2010)
Journal of Inequalities and Applications [electronic only]
Chen, Caisheng, Yao, Huaping, Shao, Ling (2010)
Journal of Inequalities and Applications [electronic only]
Alexandru D. Ionescu, Benoît Pausader (2014)
Journal of the European Mathematical Society
We prove small data global existence and scattering for quasilinear systems of Klein-Gordon equations with different speeds, in dimension three. As an application, we obtain a robust global stability result for the Euler-Maxwell equations for electrons.
M. Krzyżański, J. Schauder (1936)
Studia Mathematica
Jean-Marc Delort (2007/2008)
Séminaire Équations aux dérivées partielles
Jonathan Luk (2013)
Journal of the European Mathematical Society
We study a semilinear equation with derivatives satisfying a null condition on slowly rotating Kerr spacetimes. We prove that given sufficiently small initial data, the solution exists globally in time and decays with a quantitative rate to the trivial solution. The proof uses the robust vector field method. It makes use of the decay properties of the linear wave equation on Kerr spacetime, in particular the improved decay rates in the region .
Jiří Kopáček (1963)
Časopis pro pěstování matematiky
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