Geodesic
On improved estimates for parabolic equations with double degeneracy
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Differential equations and dynamical systems, Tome 278 (2012), pp. 250-259 
M. D. Surnachev. On improved estimates for parabolic equations with double degeneracy. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Differential equations and dynamical systems, Tome 278 (2012), pp. 250-259. http://geodesic.mathdoc.fr/item/TM_2012_278_a22/
@article{TM_2012_278_a22,
     author = {M. D. Surnachev},
     title = {On improved estimates for parabolic equations with double degeneracy},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {250--259},
     year = {2012},
     volume = {278},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2012_278_a22/}
}
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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.

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