نتایج جستجو برای: random inverse partial differential equation

تعداد نتایج: 1018325  

2005
D. A. Dawson H. H. Kuo G. C. Papanicolaou

The parabolic or forward scattering approximation to the equation describing wave propagation in a random medium leads to a stochastic partial differential equation which has the form of a random SchrOdinger equation. Existence, uniqueness and continuity of solutions to this equation are established. The resulting process is a Markov diffusion process on the unit sphere in complex Hilbert space...

2003
WENHUA ZHAO

Let F (z) = z − H(z) with o(H(z)) ≥ 2 be a formal map from Cn to Cn and G(z) the formal inverse of F (z). In this paper, we give two recurrent formulas for the formal inverse G(z). The first formula not only provides an efficient method for the calculation of G(z), but also reduces the inversion problem to a Cauchy problem of a partial differential equation. The second one is differential free ...

2017
Peter Falk Michael H. Frosz Ole Bang Lars Thrane Peter E. Andersen Anders O. Bjarklev Kim P. Hansen Jes Broeng

Journal: :computational methods for differential equations 0
mehmet ekici department of mathematics, faculty of science and arts, bozok university, yozgat, turkey abdullah sonmezoglu department of mathematics, faculty of science and arts, bozok university, 66100 yozgat, turkey elsayed m. e. zayed mathematics department, faculty of science, zagazig university, zagazig, egypt

in this paper, a new fractional sub-equation method is proposed for finding exact solutions of fractional partial differential equations (fpdes) in the sense of modified riemann-liouville derivative. with the aid of symbolic computation, we choose the space-time fractional zakharov-kuznetsov-benjamin-bona-mahony (zkbbm) equation in mathematical physics with a source to illustrate the validity a...

Journal: :journal of mathematical modeling 2014
hossein aminikhah amir hossein refahi sheikhani hadi rezazadeh

the present study introduces a new technique of homotopy perturbation method for the solution of systems of fractional partial differential equations. the proposed scheme is based on laplace transform and new homotopy perturbation methods. the fractional derivatives are considered in caputo sense. to illustrate the ability and reliability of the method some examples are provided. the results ob...

2008
M. RUZHANSKY

This paper describes a new comparison principle that can be used for the comparison of space-time estimates for dispersive equations. In particular, results are applied to the global smoothing estimates for several classes of dispersive partial differential equations.

2012
Robert Kamiński R. Garcia-Martin J. R. Pelaez J. Ruiz de Elvira

The long-standing puzzle in the parameters of the f0(500), as well as the f0(980), is finally being settled [1] thanks to precise dispersive analyses carried out during the last years. Here we report on our very recent dispersive data analysis which allowed for a precise and model independent determination of the amplitudes for the S , P, D and F waves [2–4]. The analytic continuation of once s...

2008
Simon Moulin

We prove dispersive estimates at high frequency in dimension two for both the wave and the Schrödinger groups for a very large class of real-valued potentials.

2007
STEPHEN GUSTAFSON KENJI NAKANISHI TAI-PENG TSAI

We study asymptotic behaviour at time infinity of solutions close to the nonzero constant equilibrium for the Gross-Pitaevskii equation in two and three spatial dimensions. We construct a class of global solutions with prescribed dispersive asymptotic behavior, which is given in terms of the linearized evolution.

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