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A three dimensional model of wound healing: Analysis and computation
1.  Department of Mathematics and Mathematical Biosciences Institute, Ohio State University, Columbus, OH 43210, United States, United States 
2.  Department of Applied and Computational Mathematics and Statistics, University of Notre Dame, Notre Dame, IN 46556 
References:
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References:
[1] 
Mingxin Wang. Existence and uniqueness of solutions of free boundary problems in heterogeneous environments. Discrete and Continuous Dynamical Systems  B, 2019, 24 (2) : 415421. doi: 10.3934/dcdsb.2018179 
[2] 
Mingxin Wang. Erratum: Existence and uniqueness of solutions of free boundary problems in heterogeneous environments. Discrete and Continuous Dynamical Systems  B, 2021 doi: 10.3934/dcdsb.2021269 
[3] 
Tong Yang, Fahuai Yi. Global existence and uniqueness for a hyperbolic system with free boundary. Discrete and Continuous Dynamical Systems, 2001, 7 (4) : 763780. doi: 10.3934/dcds.2001.7.763 
[4] 
Haiyan Wang, Shiliang Wu. Spatial dynamics for a model of epidermal wound healing. Mathematical Biosciences & Engineering, 2014, 11 (5) : 12151227. doi: 10.3934/mbe.2014.11.1215 
[5] 
Sophia A. Maggelakis. Modeling the role of angiogenesis in epidermal wound healing. Discrete and Continuous Dynamical Systems  B, 2004, 4 (1) : 267273. doi: 10.3934/dcdsb.2004.4.267 
[6] 
Noriaki Yamazaki. Almost periodicity of solutions to free boundary problems. Conference Publications, 2001, 2001 (Special) : 386397. doi: 10.3934/proc.2001.2001.386 
[7] 
John A. Adam. Inside mathematical modeling: building models in the context of wound healing in bone. Discrete and Continuous Dynamical Systems  B, 2004, 4 (1) : 124. doi: 10.3934/dcdsb.2004.4.1 
[8] 
Gabriele Bonanno, Pasquale Candito, Roberto Livrea, Nikolaos S. Papageorgiou. Existence, nonexistence and uniqueness of positive solutions for nonlinear eigenvalue problems. Communications on Pure and Applied Analysis, 2017, 16 (4) : 11691188. doi: 10.3934/cpaa.2017057 
[9] 
M. Chuaqui, C. Cortázar, M. Elgueta, J. GarcíaMelián. Uniqueness and boundary behavior of large solutions to elliptic problems with singular weights. Communications on Pure and Applied Analysis, 2004, 3 (4) : 653662. doi: 10.3934/cpaa.2004.3.653 
[10] 
Avner Friedman. Free boundary problems arising in biology. Discrete and Continuous Dynamical Systems  B, 2018, 23 (1) : 193202. doi: 10.3934/dcdsb.2018013 
[11] 
Daniel Franco, Donal O'Regan. Existence of solutions to second order problems with nonlinear boundary conditions. Conference Publications, 2003, 2003 (Special) : 273280. doi: 10.3934/proc.2003.2003.273 
[12] 
M.J. LopezHerrero. The existence of weak solutions for a general class of mixed boundary value problems. Conference Publications, 2011, 2011 (Special) : 10151024. doi: 10.3934/proc.2011.2011.1015 
[13] 
R. Kannan, S. Seikkala. Existence of solutions to some PhiLaplacian boundary value problems. Conference Publications, 2001, 2001 (Special) : 211217. doi: 10.3934/proc.2001.2001.211 
[14] 
Patricia Bauman, Daniel Phillips, Jinhae Park. Existence of solutions to boundary value problems for smectic liquid crystals. Discrete and Continuous Dynamical Systems  S, 2015, 8 (2) : 243257. doi: 10.3934/dcdss.2015.8.243 
[15] 
John R. Graef, Shapour Heidarkhani, Lingju Kong. Existence of nontrivial solutions to systems of multipoint boundary value problems. Conference Publications, 2013, 2013 (special) : 273281. doi: 10.3934/proc.2013.2013.273 
[16] 
Lingju Kong, Qingkai Kong. Existence of nodal solutions of multipoint boundary value problems. Conference Publications, 2009, 2009 (Special) : 457465. doi: 10.3934/proc.2009.2009.457 
[17] 
John R. Graef, Lingju Kong. Uniqueness and parameter dependence of positive solutions of third order boundary value problems with $p$laplacian. Conference Publications, 2011, 2011 (Special) : 515522. doi: 10.3934/proc.2011.2011.515 
[18] 
G. Kamberov. Prescribing mean curvature: existence and uniqueness problems. Electronic Research Announcements, 1998, 4: 411. 
[19] 
J. R. L. Webb. Uniqueness of the principal eigenvalue in nonlocal boundary value problems. Discrete and Continuous Dynamical Systems  S, 2008, 1 (1) : 177186. doi: 10.3934/dcdss.2008.1.177 
[20] 
Avner Friedman. Free boundary problems for systems of Stokes equations. Discrete and Continuous Dynamical Systems  B, 2016, 21 (5) : 14551468. doi: 10.3934/dcdsb.2016006 
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