Zobrazeno 1 - 10
of 30
pro vyhledávání: '"35L71, 35B40"'
Autor:
Coclite, Giuseppe Maria, De Nitti, Nicola, Maddalena, Francesco, Orlando, Gianluca, Zuazua, Enrique
We study the global well-posedness and asymptotic behavior for a semilinear damped wave equation with Neumann boundary conditions, modelling a one-dimensional linearly elastic body interacting with a rigid substrate through an adhesive material. The
Externí odkaz:
http://arxiv.org/abs/2311.05295
Autor:
Liu, Mengliang, Liu, Mengyun
In this work, we study the blow up results to power-type semilinear wave equation in the high dimensional Schwarzschild spacetime, with damping and potential terms. We can obtain the upper bound estimates of lifespan without the assumption that the s
Externí odkaz:
http://arxiv.org/abs/2308.01691
Autor:
Liu, Mengliang
In this paper, we consider the semi-linear wave systems with power-nonlinearities and a large class of space-dependent damping and potential. We obtain the same blow-up regions and the lifespan estimates for three types wave systems, compared with th
Externí odkaz:
http://arxiv.org/abs/2211.10639
Autor:
Liu, Mengyun
In this work, we investigate the problem of finite time blow up as well as the upper bound estimates of lifespan for solutions to small-amplitude semilinear wave equations with time dependent damping and potential, and mixed nonlinearities $c_1 |u_t|
Externí odkaz:
http://arxiv.org/abs/2104.08497
Autor:
Nishii, Yoshinori
We consider the global Cauchy problem for a two-component system of cubic semilinear wave equations in two space dimensions. We give a criterion for large time non-decay of the energy for small amplitude solutions in terms of the radiation fields ass
Externí odkaz:
http://arxiv.org/abs/2011.06743
We study stability properties of kinks for the (1+1)-dimensional nonlinear scalar field theory models \begin{equation*} \partial_t^2\phi -\partial_x^2\phi + W'(\phi) = 0, \quad (t,x)\in\mathbb{R}\times\mathbb{R}. \end{equation*} The orbital stability
Externí odkaz:
http://arxiv.org/abs/2008.01276
Publikováno v:
J. Math. Soc. Japan 73 (2021), no.3, 767-779
This article gives an energy decay result for small data solutions to a class of semilinear wave equations in two space dimensions possessing weakly dissipative structure relevant to the Agemi condition.
Comment: 15 pages
Comment: 15 pages
Externí odkaz:
http://arxiv.org/abs/2002.09639
Autor:
Liu, Mengyun, Wang, Chengbo
In this work, we investigate the problem of finite time blow up as well as the upper bound estimates of lifespan for solutions to small-amplitude semilinear wave equations with mixed nonlinearities $a |u_t|^p+b |u|^q$, posed on asymptotically Euclide
Externí odkaz:
http://arxiv.org/abs/1912.02561
Autor:
Duyckaerts, Thomas, Yang, Jianwei
We consider the focusing wave equation outside a ball of $\R^3$, with Dirichlet boundary condition and a superquintic power nonlinearity. We classify all radial stationary solutions, and prove that all radial global solutions are asymptotically the s
Externí odkaz:
http://arxiv.org/abs/1910.00811
Autor:
Nishii, Yoshinori, Sunagawa, Hideaki
Publikováno v:
Journal of Hyperbolic Differential Equations, vol.17 (2020), no.3, p.459-473
We consider a two-component system of cubic semilinear wave equations in two space dimensions satisfying the Agemi-type structural condition (Ag) but violating (Ag$_0$) and (Ag$_+$). For this system, we show that small amplitude solutions are asympto
Externí odkaz:
http://arxiv.org/abs/1904.09083