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A class of inverse problems for nonlinear parabolic equations

โœ Scribed by M. V. Klibanov


Publisher
SP MAIK Nauka/Interperiodica
Year
1987
Tongue
English
Weight
780 KB
Volume
27
Category
Article
ISSN
0037-4466

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๐Ÿ“œ SIMILAR VOLUMES


Inverse problem for a parabolic equation
โœ N. P. Shishko ๐Ÿ“‚ Article ๐Ÿ“… 1981 ๐Ÿ› SP MAIK Nauka/Interperiodica ๐ŸŒ English โš– 248 KB
Inverse problems for parabolic equations
โœ A.G. Ramm ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 118 KB

Let u t ร€ u xx = h(t) in 0 6 x 6 p, t P 0. Assume that u(0, t) = v(t), u(p, t) = 0, and u(x, 0) = g(t). The problem is: what extra data determine the three unknown functions {h, v, g} uniquely? This question is answered and an analytical method for recovery of the above three functions is proposed.

A Class of Degenerate Totally Nonlinear
โœ Chin-Yuan Lin; Li-Chang Fan ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 181 KB

Of concern is the following totally nonlinear parabolic equation, as well as its higher space dimensional analogue