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Ivanov, A. V.

Hölder estimates for quasilinear doubly degenerate parabolic equations. (English. Russian original) Zbl 0729.35018

J. Sov. Math. 56, No. 2, 2320-2347 (1991); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 171, 70-105 (1989).
See the review in Zbl 0719.35008.

Cited in 24 Documents

MSC:

35B45 A priori estimates in context of PDEs
35K60 Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations
35K65 Degenerate parabolic equations

Keywords:

local Hölder estimates; regularity

Citations:

Zbl 0719.35008
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\textit{A. V. Ivanov}, J. Sov. Math. 56, No. 2, 2320--2347 (1991; Zbl 0729.35018); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 171, 70--105 (1989)
Full Text: DOI

References:

[1] E. DiBenedetto, ”On the local behaviour of solutions of degenerate parabolic equations with measurable coefficients,” Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4),13, No. 3, 487–535 (1986). · Zbl 0635.35052
[2] O. A. Ladyzhenskaya, V. A. Solonnikov, and N. N. Ural’tseva, Linear and Quasilinear Equations of Parabolic Type, Am. Math. Soc., Providence (1968).
[3] C. Yazhe, ”Hölder estimates for solutions of uniformly degenerate quasilinear parabolic equations,” Chinese Ann. Math. Ser. B,5 (4) 661–678 (1984). · Zbl 0562.35051
[4] E. DiBenedetto and A. Friedman, ”Hölder estimates for nonlinear degenerate parabolic systems,” J. Reine Angew. Math.,357, 1–22 (1985). · Zbl 0549.35061
[5] A. V. Ivanov, ”Estimates of the Hölder constants of generalized solutions of degenerate parabolic equations,” Zap. Nauchn. Sem. Leningr. Otd. Mat. Inst.,152, 21–44 (1986). · Zbl 0618.35066
[6] A. V. Ivanov, ”Hölder estimates for quasilinear degenerate second-order parabolic systems,” Zap. Nauchn. Sem. Leningr. Otd. Mat. Inst., 163, 49–65 (1987). · Zbl 0669.35056
[7] N. N. Ural’tseva, ”Degenerate quasilinear elliptic systems,” Zap. Nauchn. Sem. Leningr. Otd. Mat. Inst.,7, 184–221 (1968).
[8] A. V. Ivanov, ”Quasilinear degenerate and nonuniformly elliptic and parabolic equations of second order,” Tr. Mat. Inst. Akad. Nauk SSSR, 160 (1982). · Zbl 0517.35001
[9] A. V. Ivanov, ”The Harnack inequality for the generalized solutions of second-order quasilinear parabolic equations,” Tr. Mat. Inst. Akad. Nauk SSSR,102, 51–84 (1967).
[10] M. Tsutsumi, ”On solutions of some doubly nonlinear degenerate parabolic equations with absorption,” J. Math. Anal. Appl.,132, 187–212 (1988). · Zbl 0681.35047
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