Lq(Lp)-Theory of parabolic PDEs with variable coefficients

Kyeong Hun Kim

doi:10.4134/BKMS.2008.45.1.169

L_q(L_p)-Theory of parabolic PDEs with variable coefficients

Kyeong Hun Kim^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

12 Citations (Scopus)

Abstract

Second-order parabolic equations with variable coefficients are considered on ℝ^d and C¹ domains. Existence and uniqueness results axe given in L_q(L_p)-spaces, where it is allowed for the powers of summability with respect to space and time variables to be different.

Original language	English
Pages (from-to)	169-190
Number of pages	22
Journal	Bulletin of the Korean Mathematical Society
Volume	45
Issue number	1
DOIs	https://doi.org/10.4134/BKMS.2008.45.1.169
Publication status	Published - 2008 Feb

Keywords

L(L)-theory
Parabolic equations
Sobolev spaces with weights

ASJC Scopus subject areas

General Mathematics

Access to Document

10.4134/BKMS.2008.45.1.169

Cite this

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title = "Lq(Lp)-Theory of parabolic PDEs with variable coefficients",

abstract = "Second-order parabolic equations with variable coefficients are considered on ℝd and C1 domains. Existence and uniqueness results axe given in Lq(Lp)-spaces, where it is allowed for the powers of summability with respect to space and time variables to be different.",

keywords = "L(L)-theory, Parabolic equations, Sobolev spaces with weights",

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AB - Second-order parabolic equations with variable coefficients are considered on ℝd and C1 domains. Existence and uniqueness results axe given in Lq(Lp)-spaces, where it is allowed for the powers of summability with respect to space and time variables to be different.

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KW - Parabolic equations

KW - Sobolev spaces with weights

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