Asymptotics for nonlinear damped wave equations with large initial data.
Hayashi, Nakao, Kaikina, E.I., Naumkin, P.I. (2007)
Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]
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Displaying similar documents to “The scattering problem for a noncommutative nonlinear Schrödinger equation.”
Asymptotics for nonlinear damped wave equations with large initial data.
Nonlinear evolution equations.
Lin, Chin-Yuan (2005)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Exact solutions and symmetry operators for the nonlocal Gross-Pitaevskii equation with quadratic potential.
Shapovalov, Alexander, Trifonov, Andrey, Lisok, Alexander (2005)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Self-consistent-field method and -functional method on group manifold in soliton theory: a review and new results.
Nishiyama, Seiya, Da Providência, João, Providência, Constança, Cordeiro, Flávio, Komatsu, Takao (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Global existence for coupled Klein-Gordon equations with different speeds
Pierre Germain (2011)
Annales de l’institut Fourier
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Consider, in dimension 3, a system of coupled Klein-Gordon equations with different speeds, and an arbitrary quadratic nonlinearity. We show, for data which are small, smooth, and localized, that a global solution exists, and that it scatters. The proof relies on the space-time resonance approach; it turns out that the resonant structure of this equation has features which were not studied before, but which are generic in some sense.
On the stability of extremal surfaces for a certain area-type functional.
Klyachin, V.A., Medvedeva, N.M. (2007)
Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]
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Asymptotically normal explicit estimation of parameters in the Michaelis--Menten equation.
Linke, Yu.Yu., Sakhanenko, A.I. (2001)
Sibirskij Matematicheskij Zhurnal
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Existence and construction of anisotropic solutions to the multidimensional equation of nonlinear diffusion. I.
Rudykh, G.A., Semenov, Eh.I. (2000)
Siberian Mathematical Journal
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Global time estimates for solutions to equations of dissipative type
Michael Ruzhansky, James Smith (2005)
Journées Équations aux dérivées partielles
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Global time estimates of norms of solutions to general strictly hyperbolic partial differential equations are considered. The case of special interest in this paper are equations exhibiting the dissipative behaviour. Results are applied to discuss time decay estimates for Fokker-Planck equations and for wave type equations with negative mass.
Rate of approximation for Bézier variant of Bleimann-Butzer and Hahn operators.
Gupta, Vijay, Lupaş, Alexandru (2005)
General Mathematics
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Klein-Gordon type decay rates for wave equations with time-dependent coefficients
Michael Reissig, Karen Yagdjian (2000)
Banach Center Publications
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This work is concerned with the proof of decay estimates for solutions of the Cauchy problem for the Klein-Gordon type equation . The coefficient consists of an increasing smooth function and an oscillating smooth and bounded function b which are uniformly separated from zero. Moreover, is a positive constant. We study under which assumptions for λ and b one can expect as an essential part of the decay rate the classical Klein-Gordon decay rate n/2(1/p-1/q).