Results 21 to 27 of about 492 (27)
Decay of solutions of a system of nonlinear Klein‐Gordon equations
International Journal of Mathematics and Mathematical Sciences, Volume 9, Issue 3, Page 471-483, 1986., 1986 We study the asymptotic behavior in time of the solutions of a system of nonlinear Klein‐Gordon equations. We have two basic results: First, in the L∞(ℝ3) norm, solutions decay like 0(t−3/2) as t → +∞ provided the initial data are sufficiently small. Finally we prove that finite energy solutions of such a system decay in local energy norm as t → +∞.
José Ferreira, Gustavo Perla Menzala
wiley +1 more source
Journal of Function Spaces, Volume 2024, Issue 1, 2024.In this work, we deal with a fourth‐order parabolic equation with variable exponent logarithmic nonlinearity. We obtain the global existence and blowup solutions using the energy functional and potential well method.
Gülistan Butakın +3 more
wiley +1 more source
Low regularity well-posedness for the one-dimensional Dirac - Klein - Gordon system
, 2006 Local well-posedness for the Dirac - Klein - Gordon equations is proven in one space dimension, where the Dirac part belongs to H^{-{1/4}+\epsilon} and the Klein - Gordon part to H^{{1/4}-\epsilon} for 0 < \epsilon < 1/4, and global well-posedness, if ...
Pecher, Hartmut
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On Global Attraction to Stationary States for Wave Equations with Concentrated Nonlinearities. [PDF]
J Dyn Differ Equ, 2018 Kopylova E.
europepmc +1 more source
Nonexistence of global solutions of abstract wave equations with high energies. [PDF]
J Inequal Appl, 2017 Esquivel-Avila JA.
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Resolvent estimates and the decay of the solution to the wave equation with potential [PDF]
, 2001 Georgiev, Vladimir
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On asymptotic stability of solitons for 2D Maxwell-Lorentz equations with spinning particle. [PDF]
Mon Hefte MathKopylova E.
europepmc +1 more source