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.

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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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     title = {On improved estimates for parabolic equations with double degeneracy},
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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/

[1] Ladyzhenskaya O.A., Solonnikov V.A., Uraltseva N.N., Lineinye i kvazilineinye uravneniya parabolicheskogo tipa, Nauka, M., 1967 | MR

[2] DiBenedetto E., Degenerate parabolic equations, Springer, New York, 1993 | MR

[3] Porzio M.M., “$L_\mathrm{loc}^\infty $-estimates for degenerate and singular parabolic equations”, Nonlinear Anal., Theory Methods Appl., 17:11 (1991), 1093–1107 | DOI | MR | Zbl