Regularization of the Cauchy problem for elliptic operators
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 11 (2018) no. 2, pp. 191-193
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We regularize the ill-posed Cauchy problem for a first order elliptic matrix differential operator $A$ with the use of a mixed problem for its Laplacian $A^*A$, depending on small parameter in boundary conditions.
Keywords:
elliptic operators, the Cauchy problem, small parameter method.
@article{JSFU_2018_11_2_a6,
author = {Anastasiya S. Peicheva},
title = {Regularization of the {Cauchy} problem for elliptic operators},
journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
pages = {191--193},
publisher = {mathdoc},
volume = {11},
number = {2},
year = {2018},
language = {en},
url = {http://geodesic.mathdoc.fr/item/JSFU_2018_11_2_a6/}
}
TY - JOUR AU - Anastasiya S. Peicheva TI - Regularization of the Cauchy problem for elliptic operators JO - Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika PY - 2018 SP - 191 EP - 193 VL - 11 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/JSFU_2018_11_2_a6/ LA - en ID - JSFU_2018_11_2_a6 ER -
Anastasiya S. Peicheva. Regularization of the Cauchy problem for elliptic operators. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 11 (2018) no. 2, pp. 191-193. http://geodesic.mathdoc.fr/item/JSFU_2018_11_2_a6/