Construction of the fundamental solution to a parabolic equation with degeneracy
Numerical methods and programming, Tome 6 (2005) no. 1, pp. 66-70
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The fundamental solution to the parabolic equation $u_{yy}-\operatorname{Sgn}y|y|^pu_x=0$ is constructed.
Mots-clés :
parabolic equation
Keywords: fundamental solution, boundary-value problem, integral equations, uniqueness of solution.
Keywords: fundamental solution, boundary-value problem, integral equations, uniqueness of solution.
@article{VMP_2005_6_1_a7,
author = {Yu. P. Gor'kov},
title = {Construction of the fundamental solution to a parabolic equation with degeneracy},
journal = {Numerical methods and programming},
pages = {66--70},
year = {2005},
volume = {6},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMP_2005_6_1_a7/}
}
Yu. P. Gor'kov. Construction of the fundamental solution to a parabolic equation with degeneracy. Numerical methods and programming, Tome 6 (2005) no. 1, pp. 66-70. http://geodesic.mathdoc.fr/item/VMP_2005_6_1_a7/