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Mathematics > Analysis of PDEs

Title: Analysis of solution to an elliptic free boundary value problem equipped with a `bad' data

Authors: Debajyoti Choudhuri, Shengda Zeng
(Submitted on 27 Mar 2024 (v1), last revised 12 Apr 2024 (this version, v2))
Abstract: We will study a free boundary value problem driven by a source term which is quite {\it irregular}. In the process, we will establish a monotonicity result, and regularity of the solution.
Subjects: Analysis of PDEs (math.AP)
Cite as: arXiv:2403.18273 [math.AP]
  (or arXiv:2403.18273v2 [math.AP] for this version)

Submission history

From: Debarjoyti Choudhuri [view email]
[v1] Wed, 27 Mar 2024 05:57:10 GMT (8kb)
[v2] Fri, 12 Apr 2024 08:50:41 GMT (8kb)
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