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Volume 8, Issue 3
The Well Posedness in a Parabolic Multiple Free Boundary Problem

YoonMee Ham & Sang sup Yum

J. Part. Diff. Eq., 8 (1995), pp. 211-218.

Published online: 1995-08

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  • Abstract
We consider a free boundary problem in a parabolic partial differential equation with multiple interfacial curves which is reduced to a reaction-diffusion equation. The forcing term of this problem is not continuously differentiable and thus we use Green's function to make a regular one. The existence, uniqueness and dependence. on initial conditions will be shown in this paper.
  • Keywords

Evolution equation free boundary problem parabolic equation

  • AMS Subject Headings

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

ymham@kuic.kyonggi.ac.kr (YoonMee Ham)

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@Article{JPDE-8-211, author = {Ham , YoonMee and Yum , Sang sup}, title = {The Well Posedness in a Parabolic Multiple Free Boundary Problem}, journal = {Journal of Partial Differential Equations}, year = {1995}, volume = {8}, number = {3}, pages = {211--218}, abstract = { We consider a free boundary problem in a parabolic partial differential equation with multiple interfacial curves which is reduced to a reaction-diffusion equation. The forcing term of this problem is not continuously differentiable and thus we use Green's function to make a regular one. The existence, uniqueness and dependence. on initial conditions will be shown in this paper.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5653.html} }
TY - JOUR T1 - The Well Posedness in a Parabolic Multiple Free Boundary Problem AU - Ham , YoonMee AU - Yum , Sang sup JO - Journal of Partial Differential Equations VL - 3 SP - 211 EP - 218 PY - 1995 DA - 1995/08 SN - 8 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5653.html KW - Evolution equation KW - free boundary problem KW - parabolic equation AB - We consider a free boundary problem in a parabolic partial differential equation with multiple interfacial curves which is reduced to a reaction-diffusion equation. The forcing term of this problem is not continuously differentiable and thus we use Green's function to make a regular one. The existence, uniqueness and dependence. on initial conditions will be shown in this paper.
YoonMee Ham & Sang sup Yum . (2019). The Well Posedness in a Parabolic Multiple Free Boundary Problem. Journal of Partial Differential Equations. 8 (3). 211-218. doi:
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