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Partial Differential Equation
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Lectures on Cauchy's Problem in Linear Partial Differential Equations
Lectures on Cauchy's Problem in Linear Partial Differential Equations,10.1063/1.3061337,Physics Today,Jacques Hadamard,Philip M. Morse
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Lectures on Cauchy's Problem in Linear Partial Differential Equations
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Citations: 449
)
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Jacques Hadamard
,
Philip M. Morse
Journal:
Physics Today  PHYS TODAY
, vol. 6, no. 8, 1953
DOI:
10.1063/1.3061337
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The following links allow you to view full publications. These links are maintained by other sources not affiliated with Microsoft Academic Search.
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Citation Context
(255)
...Hadamard
6
defined a problem to be
ill

posed
if the solution is not unique or if an arbitrarily small perturbation of the data (noise from matrix
B
) can cause an arbitrarily large perturbation of the solution...
M. Mammadov
,
et al.
The effect of regularization on drugreaction relationships
...In
7
, p...
George C. Hsiao
,
et al.
A representation formula for the wave equation revisited
...According to Hadamard’s definition of a wellposed problem [
40
], this is type (ii) illposedness where the solution is not unique...
M. M. Salehi
,
et al.
Application of the conditional sourceterm estimation model for turbul...
...gif"/> , see Hadamard
29
...
Zhuojia Fu
,
et al.
Boundary particle method for Cauchy inhomogeneous potential problems
...This is an illposed problem in the sense that a small error in the data may result in an enormous error in the solution, ie, the solution (if it exists) does not depend continuously on the data
14
...
Jin Wen
,
et al.
Simultaneous determination of a timedependent heat source and the ini...
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Citations
(449)
The effect of regularization on drugreaction relationships
M. Mammadov
,
L. Zhao
,
J. Zhang
Journal:
Optimization
, vol. 61, no. 4, pp. 405422, 2012
A representation formula for the wave equation revisited
George C. Hsiao
,
Richard J. Weinacht
Journal:
Applicable Analysis
, vol. 91, no. 2, pp. 371380, 2012
Application of the conditional sourceterm estimation model for turbulence–chemistry interactions in a premixed flame
M. M. Salehi
,
W. K. Bushe
,
K. J. Daun
Journal:
Combustion Theory and Modelling  COMBUST THEORY MODEL
, vol. 16, no. 2, pp. 301320, 2012
Boundary particle method for Cauchy inhomogeneous potential problems
Zhuojia Fu
,
Wen Chen
,
Chuanzeng Zhang
Journal:
Inverse Problems in Science and Engineering  INVERSE PROBL SCI ENG
, vol. 20, no. 2, pp. 189207, 2012
Simultaneous determination of a timedependent heat source and the initial temperature in an inverse heat conduction problem
Jin Wen
,
Masahiro Yamamoto
,
Ting Wei
Journal:
Inverse Problems in Science and Engineering  INVERSE PROBL SCI ENG
, vol. aheadofp, no. aheadofp, pp. 115, 2012