Geodesic
Uniqueness theorems and properties of adjoint problems for a class of parabolic equations with the Cauchy data
Numerical methods and programming, Tome 8 (2007) no. 2, pp. 183-194

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The uniqueness problem in Hoelder spaces is studied for the uncharacteristic Cauchy problems arising when determining the unknown right-hand sides of parabolic equations. A relation between this problem and the density properties of the solutions to the corresponding adjoint problems is found.
Mots-clés : parabolic equations
Keywords: Cauchy problem, adjoint problems, uniqueness conditions, Hoelder spaces. 
@article{VMP_2007_8_2_a4,
     author = {N. L. Gol'dman},
     title = {Uniqueness theorems and properties of adjoint problems for a class of parabolic equations with the {Cauchy} data},
     journal = {Numerical methods and programming},
     pages = {183--194},
     publisher = {mathdoc},
     volume = {8},
     number = {2},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2007_8_2_a4/}
}
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N. L. Gol'dman. Uniqueness theorems and properties of adjoint problems for a class of parabolic equations with the Cauchy data. Numerical methods and programming, Tome 8 (2007) no. 2, pp. 183-194. http://geodesic.mathdoc.fr/item/VMP_2007_8_2_a4/