The Calderón-Zygmund theorem and parabolic equations in $L P (\mathbb {R}, C^{2+\alpha })$-spaces

Krylov, Nicolai V.

The Calderón-Zygmund theorem and parabolic equations in

L P (ℝ, C^{2 + α})

-spaces

Krylov, Nicolai V.

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 5, Volume 1 (2002) no. 4, p. 799-820

Abstract

A Banach-space version of the Calderón-Zygmund theorem is presented and applied to obtaining apriori estimates for solutions of second-order parabolic equations in $L_{p} (ℝ, C^{2 + α})$ -spaces.

MR 1991003 | Zbl pre05019622

Classification: 35K10, 35J15

@article{ASNSP_2002_5_1_4_799_0,
     author = {Krylov, Nicolai V.},
     title = {The Calder\'on-Zygmund theorem and parabolic equations in $L P (\mathbb {R}, C^{2+\alpha })$-spaces},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
     publisher = {Scuola normale superiore},
     volume = {Ser. 5, 1},
     number = {4},
     year = {2002},
     pages = {799-820},
     zbl = {pre05019622},
     mrnumber = {1991003},
     language = {en},
     url = {http://www.numdam.org/item/ASNSP_2002_5_1_4_799_0}
}

Krylov, Nicolai V. The Calderón-Zygmund theorem and parabolic equations in $L P (\mathbb {R}, C^{2+\alpha })$-spaces. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 5, Volume 1 (2002) no. 4, pp. 799-820. http://www.numdam.org/item/ASNSP_2002_5_1_4_799_0/

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