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Semilinear elliptic and ellipticparabolic equations with Wentzell boundary conditions and $L^1$data
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GoldsteinWentzell boundary conditions: Recent results with Jerry and Gisèle Goldstein
1.  Dipartimento di Matematica, Università degli Studi di Bari Aldo Moro, via E. Orabona 4, 70125 Bari, Italy 
References:
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References:
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Giuseppe Maria Coclite, Angelo Favini, Gisèle Ruiz Goldstein, Jerome A. Goldstein, Silvia Romanelli. Continuous dependence in hyperbolic problems with Wentzell boundary conditions. Communications on Pure and Applied Analysis, 2014, 13 (1) : 419433. doi: 10.3934/cpaa.2014.13.419 
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Davide Guidetti. On hyperbolic mixed problems with dynamic and Wentzell boundary conditions. Discrete and Continuous Dynamical Systems  S, 2020, 13 (12) : 34613471. doi: 10.3934/dcdss.2020239 
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Davide Guidetti. Parabolic problems with general Wentzell boundary conditions and diffusion on the boundary. Communications on Pure and Applied Analysis, 2016, 15 (4) : 14011417. doi: 10.3934/cpaa.2016.15.1401 
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Mariane Bourgoing. Viscosity solutions of fully nonlinear second order parabolic equations with $L^1$ dependence in time and Neumann boundary conditions. Existence and applications to the levelset approach. Discrete and Continuous Dynamical Systems, 2008, 21 (4) : 10471069. doi: 10.3934/dcds.2008.21.1047 
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Xilu Wang, Xiaoliang Cheng. Continuous dependence and optimal control of a dynamic elasticviscoplastic contact problem with nonmonotone boundary conditions. Evolution Equations and Control Theory, 2022 doi: 10.3934/eect.2021064 
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Genni Fragnelli, Gisèle Ruiz Goldstein, Jerome Goldstein, Rosa Maria Mininni, Silvia Romanelli. Generalized Wentzell boundary conditions for second order operators with interior degeneracy. Discrete and Continuous Dynamical Systems  S, 2016, 9 (3) : 697715. doi: 10.3934/dcdss.2016023 
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Angelo Favini, Gisèle Ruiz Goldstein, Jerome A. Goldstein, Enrico Obrecht, Silvia Romanelli. Nonsymmetric elliptic operators with Wentzell boundary conditions in general domains. Communications on Pure and Applied Analysis, 2016, 15 (6) : 24752487. doi: 10.3934/cpaa.2016045 
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Mahamadi Warma. Semi linear parabolic equations with nonlinear general Wentzell boundary conditions. Discrete and Continuous Dynamical Systems, 2013, 33 (11&12) : 54935506. doi: 10.3934/dcds.2013.33.5493 
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Hugo Beirão da Veiga. A challenging open problem: The inviscid limit under sliptype boundary conditions.. Discrete and Continuous Dynamical Systems  S, 2010, 3 (2) : 231236. doi: 10.3934/dcdss.2010.3.231 
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José M. Arrieta, Simone M. Bruschi. Very rapidly varying boundaries in equations with nonlinear boundary conditions. The case of a non uniformly Lipschitz deformation. Discrete and Continuous Dynamical Systems  B, 2010, 14 (2) : 327351. doi: 10.3934/dcdsb.2010.14.327 
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Robert Denk, Yoshihiro Shibata. Generation of semigroups for the thermoelastic plate equation with free boundary conditions. Evolution Equations and Control Theory, 2019, 8 (2) : 301313. doi: 10.3934/eect.2019016 
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Hung Le. Elliptic equations with transmission and Wentzell boundary conditions and an application to steady water waves in the presence of wind. Discrete and Continuous Dynamical Systems, 2018, 38 (7) : 33573385. doi: 10.3934/dcds.2018144 
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Paul Sacks, Mahamadi Warma. Semilinear elliptic and ellipticparabolic equations with Wentzell boundary conditions and $L^1$data. Discrete and Continuous Dynamical Systems, 2014, 34 (2) : 761787. doi: 10.3934/dcds.2014.34.761 
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Ciprian G. Gal, Hao Wu. Asymptotic behavior of a CahnHilliard equation with Wentzell boundary conditions and mass conservation. Discrete and Continuous Dynamical Systems, 2008, 22 (4) : 10411063. doi: 10.3934/dcds.2008.22.1041 
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Mustapha MokhtarKharroubi. Spectra of structured diffusive population equations with generalized WentzellRobin boundary conditions and related topics. Discrete and Continuous Dynamical Systems  S, 2020, 13 (12) : 35513563. doi: 10.3934/dcdss.2020244 
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Jeremy LeCrone, Gieri Simonett. Continuous maximal regularity and analytic semigroups. Conference Publications, 2011, 2011 (Special) : 963970. doi: 10.3934/proc.2011.2011.963 
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Mariane Bourgoing. Viscosity solutions of fully nonlinear second order parabolic equations with $L^1$ dependence in time and Neumann boundary conditions. Discrete and Continuous Dynamical Systems, 2008, 21 (3) : 763800. doi: 10.3934/dcds.2008.21.763 
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Igor Shevchenko, Barbara Kaltenbacher. Absorbing boundary conditions for the Westervelt equation. Conference Publications, 2015, 2015 (special) : 10001008. doi: 10.3934/proc.2015.1000 
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Hichem Kasri, Amar Heminna. Exponential stability of a coupled system with Wentzell conditions. Evolution Equations and Control Theory, 2016, 5 (2) : 235250. doi: 10.3934/eect.2016003 
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Peter Brune, Björn Schmalfuss. Inertial manifolds for stochastic pde with dynamical boundary conditions. Communications on Pure and Applied Analysis, 2011, 10 (3) : 831846. doi: 10.3934/cpaa.2011.10.831 
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