Dynamics of Quasiconformal fields

Tadeusz Iwaniec; Leonid V. Kovalev; Jani Onninen

doi:10.1007/s10884-010-9203-0

Dynamics of Quasiconformal fields

Tadeusz Iwaniec, Leonid V. Kovalev, Jani Onninen

Department of Mathematics

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

3 Scopus citations

Abstract

A uniqueness theorem is established for autonomous systems of ODEs, x = f(x), where f is a Sobolev vector field with additional geometric structure, such as delta-monotonicity or reduced quasiconformality. Specifically, through every non-critical point of f there passes a unique integral curve.

Original language	English (US)
Pages (from-to)	185-212
Number of pages	28
Journal	Journal of Dynamics and Differential Equations
Volume	23
Issue number	1
DOIs	https://doi.org/10.1007/s10884-010-9203-0
State	Published - Mar 2011

Keywords

Autonomous system
Monotonicity
Quasiconformal fields
Uniqueness of solutions

ASJC Scopus subject areas

Analysis

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10.1007/s10884-010-9203-0

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title = "Dynamics of Quasiconformal fields",

abstract = "A uniqueness theorem is established for autonomous systems of ODEs, x = f(x), where f is a Sobolev vector field with additional geometric structure, such as delta-monotonicity or reduced quasiconformality. Specifically, through every non-critical point of f there passes a unique integral curve.",

keywords = "Autonomous system, Monotonicity, Quasiconformal fields, Uniqueness of solutions",

author = "Tadeusz Iwaniec and Kovalev, {Leonid V.} and Jani Onninen",

note = "Funding Information: Acknowledgment Iwaniec was supported by the NSF grant DMS-0800416. Kovalev was supported by the NSF grant DMS-0913474. Onninen was supported by the NSF grant DMS-0701059.",

year = "2011",

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doi = "10.1007/s10884-010-9203-0",

language = "English (US)",

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journal = "Journal of Dynamics and Differential Equations",

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AU - Iwaniec, Tadeusz

AU - Kovalev, Leonid V.

AU - Onninen, Jani

N1 - Funding Information: Acknowledgment Iwaniec was supported by the NSF grant DMS-0800416. Kovalev was supported by the NSF grant DMS-0913474. Onninen was supported by the NSF grant DMS-0701059.

PY - 2011/3

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N2 - A uniqueness theorem is established for autonomous systems of ODEs, x = f(x), where f is a Sobolev vector field with additional geometric structure, such as delta-monotonicity or reduced quasiconformality. Specifically, through every non-critical point of f there passes a unique integral curve.

AB - A uniqueness theorem is established for autonomous systems of ODEs, x = f(x), where f is a Sobolev vector field with additional geometric structure, such as delta-monotonicity or reduced quasiconformality. Specifically, through every non-critical point of f there passes a unique integral curve.

KW - Autonomous system

KW - Monotonicity

KW - Quasiconformal fields

KW - Uniqueness of solutions

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JO - Journal of Dynamics and Differential Equations

JF - Journal of Dynamics and Differential Equations

IS - 1

ER -

Dynamics of Quasiconformal fields

Abstract

Keywords

ASJC Scopus subject areas

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