Results 101 to 110 of about 9,353 (157)

On the Degenerate Cauchy Problem

Canadian Journal of Mathematics, 1965
The problem treated here is an abstract version of the Cauchy problem for an equation of mixed type in the hyperbolic region with initial data on the parabolic line (cf. 2, 3, 5, 11, 13, 14, 15, 16, 21, 27). A more complete bibliography may be found in (3, 5, 18). We begin with the equation (6)(1.1)
Carroll, Robert W., Wang, C. L.
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The Cauchy Problem

1984
This volume deals with the Cauchy or initial value problem for linear differential equations. It treats in detail some of the applications of linear space methods to partial differential equations, especially the equations of mathematical physics such as the Maxwell, Schrödinger and Dirac equations.
Hector O. Fattorini, Adalbert Kerber
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A Cauchy problem for the Cauchy–Riemann operator

Afrika Matematika, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the Cauchy–Gelfand problem

Doklady Mathematics, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Henkin G.M., Shananin A.A.
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The Cauchy Problem

1991
The contemporary state of the question for the correctness of the Cauchy problem is exposed for differential and pseudo-differential operators with non-homogeneous symbols. Ch.1,2 are devoted to constant coefficients, criteria for the correctness of the Cauchy problem in spaces of functions and distributions of power and exponential decrease and ...
Volevich, L. R., Gindikin, S. G.
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Computation for MultiDimensional Cauchy Problem

SIAM Journal on Control and Optimization, 2003
The authors deal with a regularization method in order to solve numerically the classical Cauchy problem for the Laplace equation. They prove the convergence and the stability of the method even when the Cauchy data have noises. A numerical example in the three-dimensional case is carried out.
T. Wei, Y. C. Hon, J. Cheng
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