Fundamental solutions for the Tricomi operator, II
نویسندگان
چکیده
منابع مشابه
Fundamental Solutions for the Tricomi Operator, Ii
In this paper we explicitly calculate fundamental solutions for the Tricomi operator, relative to an arbitrary point in the plane, and show that all such fundamental solutions originate from the hypergeometric function F (1/6, 1/6; 1; ζ) that is obtained when we look for homogeneous solutions to the reduced hyperbolic Tricomi equation.
متن کاملFundamental Solutions for the Tricomi Operator, Ii
In this paper we explicitly calculate fundamental solutions for the Tricomi operator, relative to an arbitrary point in the plane, and show that all such fundamental solutions originate from the hypergeometric function F(1/6, 1/6; 1; ζ ) that is obtained when we look for homogeneous solutions to the reduced hyperbolic Tricomi equation.
متن کاملFundamental Solutions: Ii-matrix Operators
In this tutorial, we will continue the discussion, started in the tutorial 4, about the derivation of the fundamental solutions. In the former tutorial, we presented techniques for setting up the fundamental solution for simple and compound operators. Herein, we will discuss the use of operator decoupling technique to breakdown matrix operators to simple or compound scalar ones. This method is ...
متن کاملFundamental Solutions of the Instationary Schrödinger Difference Operator
In this paper we will study the existence of fundamental solutions for the explicit and implicit backward time dependent Schödinger equation, via discrete Fourier transform and its symbol for the Laplace operator. In both cases we will prove that the discrete fundamental solutions obtained converges to the continuous fundamental solution in the l1−norm sense.
متن کاملThe method of fundamental solutions for transient heat conduction in functionally graded materials: some special cases
In this paper, the Method of Fundamental Solutions (MFS) is extended to solve some special cases of the problem of transient heat conduction in functionally graded materials. First, the problem is transformed to a heat equation with constant coefficients using a suitable new transformation and then the MFS together with the Tikhonov regularization method is used to solve the resulting equation.
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: Duke Mathematical Journal
سال: 2002
ISSN: 0012-7094
DOI: 10.1215/s0012-7094-02-11137-5