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Averaging of ordinary differential equations with slowly varying averages
Very rapidly varying boundaries in equations with nonlinear boundary conditions. The case of a non uniformly Lipschitz deformation
1.  Departamento de Matemática Aplicada, Universidad Complutense de Madrid, 28040 Madrid, Spain 
2.  Departamento de Matemática, Universidade Estadual Paulista, Rio Claro  SP, Brazil 
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Mahamadi Warma. Semi linear parabolic equations with nonlinear general Wentzell boundary conditions. Discrete & Continuous Dynamical Systems  A, 2013, 33 (11&12) : 54935506. doi: 10.3934/dcds.2013.33.5493 
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Ugur G. Abdulla. On the optimal control of the free boundary problems for the second order parabolic equations. II. Convergence of the method of finite differences. Inverse Problems & Imaging, 2016, 10 (4) : 869898. doi: 10.3934/ipi.2016025 
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José M. Arrieta, Ariadne Nogueira, Marcone C. Pereira. Nonlinear elliptic equations with concentrating reaction terms at an oscillatory boundary. Discrete & Continuous Dynamical Systems  B, 2019, 24 (8) : 42174246. doi: 10.3934/dcdsb.2019079 
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Mustapha Cheggag, Angelo Favini, Rabah Labbas, Stéphane Maingot, Ahmed Medeghri. Complete abstract differential equations of elliptic type with general Robin boundary conditions, in UMD spaces. Discrete & Continuous Dynamical Systems  S, 2011, 4 (3) : 523538. doi: 10.3934/dcdss.2011.4.523 
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[19] 
Ugur G. Abdulla. On the optimal control of the free boundary problems for the second order parabolic equations. I. Wellposedness and convergence of the method of lines. Inverse Problems & Imaging, 2013, 7 (2) : 307340. doi: 10.3934/ipi.2013.7.307 
[20] 
Alexandre Nolasco de Carvalho, Marcos Roberto Teixeira Primo. Spatial homogeneity in parabolic problems with nonlinear boundary conditions. Communications on Pure & Applied Analysis, 2004, 3 (4) : 637651. doi: 10.3934/cpaa.2004.3.637 
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