Results 21 to 30 of about 541 (46)
Harmonic coordinates in the string and membrane equations
, 2010 In this note, we first show that the solutions to Cauchy problems for two versions of relativistic string and membrane equations are diffeomorphic. Then we investigate the coordinates transformation presented in Ref. [9] (see (2.20) in Ref.
Chun-Lei He +2 more
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On a nonolinear wave equation in unbounded domains
International Journal of Mathematics and Mathematical Sciences, Volume 11, Issue 2, Page 335-342, 1988., 1988 We study existence and uniqeness of the nonlinear wave equation in unbounded domains. The above model describes nonlinear wave phenomenon in non‐homogeneous media. Our techniques ivolve fixed point arguments combined with the energy method.
Carlos Frederico Vasconcellos
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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
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, 2012 In this paper we consider a viscoelastic wave equation with a time-varying delay term, the coefficient of which is not necessarily positive. By introducing suitable energy and Lyapunov functionals, under suitable assumptions, we establish a general ...
Abdallah C. +7 more
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Scientific African, 2021 In this paper, we consider a quasi-linear wave equation with memory, nonlinear source and damping termsutt−Δut−∑i=1n∂∂xiσi(uxi)+∫0tm(t−s)Δuds+f(ut)=g(u).Under some polynomial growth conditions on the nonlinear functions σi(i=1,2,…,n), f and g, we obtain
Paul A. Ogbiyele
doaj
Kirchhoff equations from quasi-analytic to spectral-gap data
, 2010 In a celebrated paper (Tokyo J. Math. 1984) K. Nishihara proved global existence for Kirchhoff equations in a special class of initial data which lies in between analytic functions and Gevrey spaces.
Ghisi, Marina, Gobbino, Massimo
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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
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Advances in Nonlinear Analysis, 2017 We consider a second-order equation with a linear “elastic” part and a nonlinear damping term depending on a power of the norm of the velocity. We investigate the asymptotic behavior of solutions, after rescaling them suitably in order to take into ...
Ghisi Marina +2 more
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On cavitation in Elastodynamics [PDF]
, 2012 Motivated by the works of Ball (1982) and Pericak-Spector and Spector (1988), we investigate singular solutions of the compressible nonlinear elastodynamics equations.
Giesselmann, Jan +1 more
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Double logarithmic inequality with a sharp constant in four space dimensions [PDF]
, 2013 We prove a Log Log inequality with a sharp constant in four dimensions for radially symmetric functions.
Majdoub, Mohamed, Saanouni, Tarek
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