On a conjecture of Gustafsson and Lin concerning Laplacian growth

Gardiner, Stephen J.; Sjödin, Tomas

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On a conjecture of Gustafsson and Lin concerning Laplacian growth

Gardiner, Stephen J.

Univ Coll Dublin, Ireland.

Sjödin, Tomas

Linköping University, Department of Mathematics, Analysis and Mathematics Education. Linköping University, Faculty of Science & Engineering.

2022 (English)In: Analysis and Mathematical Physics, ISSN 1664-2368, E-ISSN 1664-235X, Vol. 12, no 1, article id 38Article in journal (Refereed) Published

Abstract [en]

Gustafsson and Lin recently published a significant result concerning Laplacian growth problems that start from a simply connected planar domain. However, the validity of their result depends on the verification of a particular conjecture. This paper provides the missing proof.

Place, publisher, year, edition, pages

Springer Basel AG , 2022. Vol. 12, no 1, article id 38

Keywords [en]

Laplacian growth; Partial balayage; Potential; Starshaped

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Mathematical Analysis

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URN: urn:nbn:se:liu:diva-182765DOI: 10.1007/s13324-022-00647-zISI: 000749198200001OAI: oai:DiVA.org:liu-182765DiVA, id: diva2:1636297

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Funding Agencies|Linkoping University

Available from: 2022-02-09 Created: 2022-02-09 Last updated: 2022-02-28

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Gardiner, Stephen J.

Sjödin, Tomas

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