Multi-Weighted Parabolic Equations and Systems

A. Kozhevnikov

doi:10.1007/s10958-013-1452-0

Multi-Weighted Parabolic Equations and Systems

A. Kozhevnikov

Department of Mathematics

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

Abstract

We introduce multi-weighted parabolic operators and show that the class of such operators is closed under compositions. We prove the solvability of initial-value problems for multi-weighted parabolic equations in anisotropic Sobolev-Slobodetsky spaces and also for multi-weighted parabolic systems that are simultaneously multi-order systems relative to the spatial variables. Bibliography: 15 titles.

Original language	English
Pages (from-to)	267-282
Number of pages	16
Journal	Journal of Mathematical Sciences
Volume	193
Issue number	2
DOIs	https://doi.org/10.1007/s10958-013-1452-0
State	Published - Aug 2013

ASJC Scopus subject areas

Statistics and Probability
General Mathematics
Applied Mathematics

Access to Document

10.1007/s10958-013-1452-0

Cite this

@article{79e592a2876f4373a4082614788596a3,

title = "Multi-Weighted Parabolic Equations and Systems",

abstract = "We introduce multi-weighted parabolic operators and show that the class of such operators is closed under compositions. We prove the solvability of initial-value problems for multi-weighted parabolic equations in anisotropic Sobolev-Slobodetsky spaces and also for multi-weighted parabolic systems that are simultaneously multi-order systems relative to the spatial variables. Bibliography: 15 titles.",

author = "A. Kozhevnikov",

year = "2013",

month = aug,

doi = "10.1007/s10958-013-1452-0",

language = "English",

volume = "193",

pages = "267--282",

journal = "Journal of Mathematical Sciences",

issn = "1072-3374",

publisher = "Springer Science and Business Media Deutschland GmbH",

number = "2",

}

TY - JOUR

T1 - Multi-Weighted Parabolic Equations and Systems

AU - Kozhevnikov, A.

PY - 2013/8

Y1 - 2013/8

N2 - We introduce multi-weighted parabolic operators and show that the class of such operators is closed under compositions. We prove the solvability of initial-value problems for multi-weighted parabolic equations in anisotropic Sobolev-Slobodetsky spaces and also for multi-weighted parabolic systems that are simultaneously multi-order systems relative to the spatial variables. Bibliography: 15 titles.

AB - We introduce multi-weighted parabolic operators and show that the class of such operators is closed under compositions. We prove the solvability of initial-value problems for multi-weighted parabolic equations in anisotropic Sobolev-Slobodetsky spaces and also for multi-weighted parabolic systems that are simultaneously multi-order systems relative to the spatial variables. Bibliography: 15 titles.

UR - http://www.scopus.com/inward/record.url?scp=84884986645&partnerID=8YFLogxK

U2 - 10.1007/s10958-013-1452-0

DO - 10.1007/s10958-013-1452-0

M3 - Article

AN - SCOPUS:84884986645

SN - 1072-3374

VL - 193

SP - 267

EP - 282

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

IS - 2

ER -

Multi-Weighted Parabolic Equations and Systems

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this