نتایج جستجو برای: parameter abstract cauchy problem

تعداد نتایج: 1417769  

2003
T. Wei Y. C. Hon

In this paper we propose a computational method for solving a Cauchy problem of Laplace’s equation. By using the Green formula, the Cauchy problem is transformed to a moment problem so that numerical computations by using a regularization technique can be achieved. Stability estimation and suitable choice of regularization parameter for the proposed method are also given. For numerical verifica...

2006
Boris Baeumer Satoko Kurita Mark M. Meerschaert B. Baeumer S. Kurita M. M. Meerschaert

Fractional diffusion equations are abstract partial differential equations that involve fractional derivatives in space and time. They are useful to model anomalous diffusion, where a plume of particles spreads in a different manner than the classical diffusion equation predicts. An initial value problem involving a space-fractional diffusion equation is an abstract Cauchy problem, whose analyt...

2005
EDUARDO HERNÁNDEZ MAURICIO L. PELICER

In this paper we study the existence of mild and classical solutions for a second-order abstract Cauchy problem with nonlocal conditions.

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