On improved estimates for parabolic equations with double degeneracy
Informatics and Automation, Differential equations and dynamical systems, Tome 278 (2012), pp. 250-259
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We obtain improved pointwise estimates for solutions to nonlinear parabolic equations with double degeneracy. These estimates differ from the classical estimates known for the linear case in that the supremum of the modulus of a solution is estimated by the sum of two powers of the integral norm of the solution.
@article{TRSPY_2012_278_a22,
author = {M. D. Surnachev},
title = {On improved estimates for parabolic equations with double degeneracy},
journal = {Informatics and Automation},
pages = {250--259},
publisher = {mathdoc},
volume = {278},
year = {2012},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TRSPY_2012_278_a22/}
}
M. D. Surnachev. On improved estimates for parabolic equations with double degeneracy. Informatics and Automation, Differential equations and dynamical systems, Tome 278 (2012), pp. 250-259. http://geodesic.mathdoc.fr/item/TRSPY_2012_278_a22/