### Abstract

Second-order parabolic equations with variable coefficients are considered on ℝ^{d} and C^{1} 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 |

Publication status | Published - 2008 Feb 1 |

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### Keywords

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

### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

**L _{q}(L_{p})-Theory of parabolic PDEs with variable coefficients.** / Kim, Kyeong Hun.

Research output: Contribution to journal › Article

_{q}(L

_{p})-Theory of parabolic PDEs with variable coefficients',

*Bulletin of the Korean Mathematical Society*, vol. 45, no. 1, pp. 169-190.

_{q}(L

_{p})-Theory of parabolic PDEs with variable coefficients. Bulletin of the Korean Mathematical Society. 2008 Feb 1;45(1):169-190.

}

TY - JOUR

T1 - Lq(Lp)-Theory of parabolic PDEs with variable coefficients

AU - Kim, Kyeong Hun

PY - 2008/2/1

Y1 - 2008/2/1

N2 - 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.

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.

KW - L(L)-theory

KW - Parabolic equations

KW - Sobolev spaces with weights

UR - http://www.scopus.com/inward/record.url?scp=40749155831&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=40749155831&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:40749155831

VL - 45

SP - 169

EP - 190

JO - Bulletin of the Korean Mathematical Society

JF - Bulletin of the Korean Mathematical Society

SN - 1015-8634

IS - 1

ER -