Asymptotic behaviors for multidimensional Kirchhoff equations
نویسندگان
چکیده
منابع مشابه
Dispersion and Asymptotic Profiles for Kirchhoff Equations
The aim of this article is to describe asymptotic profiles for the Kirchhoff equation, and to establish time decay properties and dispersive estimates for Kirchhoff equations. For this purpose, the method of asymptotic integration is developed for the corresponding linear equations and representation formulae for their solutions are obtained. These formulae are analysed further to obtain the ti...
متن کاملAsymptotic Integration and Dispersion for Hyperbolic Equations, with Applications to Kirchhoff Equations
The aim of this paper is to establish time decay properties and dispersive estimates for strictly hyperbolic equations with homogeneous symbols and with time-dependent coefficients whose derivatives belong to L(R). For this purpose, the method of asymptotic integration is developed for such equations and representation formulae for solutions are obtained. These formulae are analysed further to ...
متن کاملMultidimensional GPR array processing using Kirchhoff migration
Ž . We compare the ability of several practical ground-penetrating radar GPR array processing methods to improve Ž . signal-to-noise ratio SNR , increase depth of signal penetration, and suppress out-of-plane arrivals for data with SNR of Ž . Ž . roughly 1. The methods include two-dimensional 2-D monostatic, three-dimensional 3-D monostatic, and 3-D bistatic Kirchhoff migration. The migration a...
متن کاملPositive solutions to Kirchhoff type equations with nonlinearity having prescribed asymptotic behavior
Existence and bifurcation of positive solutions to a Kirchhoff type equation ⎧⎪⎨ ⎪⎩ − ( a + b ∫ Ω |∇u|2 ) u= νf (x,u), in Ω, u= 0, on ∂Ω are considered by using topological degree argument and variational method. Here f is a continuous function which is asymptotically linear at zero and is asymptotically 3-linear at infinity. The new results fill in a gap of recent research about the Kirchhoff ...
متن کاملDerivative loss for Kirchhoff equations with non-Lipschitz nonlinear term
In this paper we consider the Cauchy boundary value problem for the integro-differential equation utt −m ( ∫
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Tsukuba Journal of Mathematics
سال: 2012
ISSN: 0387-4982
DOI: 10.21099/tkbjm/1341951742