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The Cauchy Interpolation Problem

1974
In this chapter we study an interpolation problem of the following type. A finite set of interpolating points is given, and the first several terms of the Taylor expansion of a rational function about each interpolation point are prescribed. As we have seen in Section 2 of Chapter I, there exists a polynomial solution to this interpolation problem ...
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Characteristic Evolution and Matching

Living Reviews in Relativity, 2012
Jeffrey Winicour
exaly  

Nonlocal Cauchy problem for fractional evolution equations

Nonlinear Analysis: Real World Applications, 2010
Yong Zhou
exaly  

Cauchy Problem

2007
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Theorem about the existence and uniqueness of a solution of a nonlocal abstract cauchy problem in a banach space

Applicable Analysis, 1991
Donal O'regan
exaly  

Cauchy Problem

2002
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Characteristic Evolution and Matching

Living Reviews in Relativity, 2001
Jeffrey Winicour
exaly  

The global Cauchy problem for the NLS and NLKG with small rough data

Journal of Differential Equations, 2007
Henryk Hudzik
exaly  

Transport equation and Cauchy problem for BV vector fields

Inventiones Mathematicae, 2004
Luigi Ambrosio
exaly  

Global existence and blow up of solutions for Cauchy problem of generalized Boussinesq equation

Physica D: Nonlinear Phenomena, 2008
Runzhang Xu
exaly