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.
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},
year = {2007},
volume = {8},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMP_2007_8_2_a4/}
}
TY - JOUR AU - N. L. Gol'dman TI - Uniqueness theorems and properties of adjoint problems for a class of parabolic equations with the Cauchy data JO - Numerical methods and programming PY - 2007 SP - 183 EP - 194 VL - 8 IS - 2 UR - http://geodesic.mathdoc.fr/item/VMP_2007_8_2_a4/ LA - ru ID - VMP_2007_8_2_a4 ER -
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/