Geodesic
On a сlass of inverse problems for a quasilinear parabolic equation with a local overdetermination
Numerical methods and programming, Tome 6 (2005) no. 1, pp. 128-145

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A class of inverse problems devoted to the determination of an unknown right-hand side in a general quasilinear parabolic equation with additional information given at a certain interior point of a domain is studied. The problem of uniqueness of the solution in a Hölder space and some questions of construction of stable approximate solutions for this class of ill-posed problems are discussed.
Keywords: inverse problems, quasilinear parabolic equation, ill-posed problems, overdetermination conditions. 
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     author = {N. L. Gol'dman},
     title = {On a {\cyrs}lass of inverse problems for a quasilinear parabolic equation with a local overdetermination},
     journal = {Numerical methods and programming},
     pages = {128--145},
     publisher = {mathdoc},
     volume = {6},
     number = {1},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2005_6_1_a13/}
}
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N. L. Gol'dman. On a сlass of inverse problems for a quasilinear parabolic equation with a local overdetermination. Numerical methods and programming, Tome 6 (2005) no. 1, pp. 128-145. http://geodesic.mathdoc.fr/item/VMP_2005_6_1_a13/