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EXISTENCE, UNIQUENESS AND EXPONENTIAL DECAY OF SOLUTIONS TO KIRCHHOFF EQUATIONIN R-n
(Texas State Univ, 2016-09-12)
We discuss the global well-posedness and uniform exponential stability for the Kirchhoff equation in R-n u(tt) - M(integral(Rn) vertical bar Delta u vertical bar(2)dx)Delta u + lambda(ut) = 0 in R-n x (0, infinity). The ...
Decay of Batchelor and Saffman rotating turbulence
(American Physical Society, 2012-12)
The decay rate of isotropic and homogeneous turbulence is known to be affected by the large-scale spectrum of the initial perturbations, associated with at least two canonical self-preserving solutions of the von Kármán-Howarth ...
Energy decay for the linear Klein-Gordon equation and boundary control
(Elsevier B.V., 2014-06-15)
In this work we study the asymptotic behavior of the solutions of the linear Klein Gordon equation in R-N, N >= 1. We prove that local energy of solutions to the Cauchy problem decays polynomially. Afterwards, we use the ...
NONLEPTONIC ANNIHILATION DECAYS of B MESON WITH A NATURAL INFRARED CUTOFF
(World Scientific Publ Co Pte Ltd, 2014)
Spectrum of the fractional p-Laplacian in RN and decay estimate for positive solutions of a Schrödinger equation
(Pergamon-Elsevier Science Ltd, 2020-04)
In this paper, we prove the existence of unbounded sequence of eigenvalues for the fractional p−Laplacian with weight in RN. We also show a nonexistence result when the weight has positive integral. In addition, we show ...
Qualitative properties of positive solutions for mixed integro-differential equations
(American Institute of Mathematical Sciences, 2019)
This paper is concerned with the qualitative properties of the solutions of mixed integro-differential equation (equation presented) with N ≥ 1, M ≥ 1 and ϵ 2 (0; 1). We study decay and symmetry properties of the solutions ...
On polynomial rates of decay and growth of solutions to nonlinear difference equationsOn polynomial rates of decay and growth of solutions to nonlinear difference equations
(Universidad de Costa Rica, Centro de Investigación en Matemática Pura y Aplicada (CIMPA), 2007)
Almost sharp nonlinear scattering in one-dimensional born-infeld equations arising in nonlinear electrodynamics
(American Mathematical Society, 2018)
We study decay of small solutions of the Born-Infeld equation in 1+1 dimensions, a quasilinear scalar field equation modeling nonlinear electromagnetism, as well as branes in String theory and minimal surfaces in Minkowski ...
Existence and decay rates for a semilinear dissipative fractional second order evolution equation
(Universidade Federal de Santa Maria, 2020)