Geodesic
On a class of inverse problems with Cauchy Data for quasilinear parabolic equations
Numerical methods and programming, Tome 5 (2004) no. 1, pp. 70-82

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The questions of uniqueness in Hölder classes are investigated for inverse problems with overspecified boundary data. These problems are connected with determination of an unknown right-hand side in a general-type quasilinear parabolic equation. The quasi-solution method for construction of stable approximate solutions for this class of ill-posed problems is substantiated.
Keywords: inverse problems, quasilinear parabolic equations, uniqueness, quasi-solution method, ill-posed problems. 
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     author = {N. L. Gol'dman},
     title = {On a class of inverse problems with {Cauchy} {Data} for quasilinear parabolic equations},
     journal = {Numerical methods and programming},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2004_5_1_a6/}
}
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N. L. Gol'dman. On a class of inverse problems with Cauchy Data for quasilinear parabolic equations. Numerical methods and programming, Tome 5 (2004) no. 1, pp. 70-82. http://geodesic.mathdoc.fr/item/VMP_2004_5_1_a6/