Ildefonso Díaz, Jesus; Shaposhnikova, Tatiana A.; Podolskiy, Alexander V. Strange non-local operators homogenizing the Poisson equation with dynamical unilateral boundary conditions: asymmetric particles of critical size. (English) Zbl 07823656 Electron. J. Differ. Equ. 2024, Paper No. 3, 29 p. (2024). MSC: 35B27 35K57 35K91 35R01 47B44 PDFBibTeX XMLCite \textit{J. Ildefonso Díaz} et al., Electron. J. Differ. Equ. 2024, Paper No. 3, 29 p. (2024; Zbl 07823656) Full Text: Link
Díaz, Jesús Ildefonso; Podolskiy, Alexander Vadimovich; Shaposhnikova, Tatiana Ardolionovna Unexpected regionally negative solutions of the homogenization of Poisson equation with dynamic unilateral boundary conditions: critical symmetric particles. (English) Zbl 1526.35030 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 118, No. 1, Paper No. 9, 19 p. (2024). MSC: 35B27 35K57 35K91 35R01 47B44 PDFBibTeX XMLCite \textit{J. I. Díaz} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 118, No. 1, Paper No. 9, 19 p. (2024; Zbl 1526.35030) Full Text: DOI
Fila, Marek; Ishige, Kazuhiro; Kawakami, Tatsuki Solvability of the heat equation on a half-space with a dynamical boundary condition and unbounded initial data. (English) Zbl 1518.35425 Z. Angew. Math. Phys. 74, No. 4, Paper No. 143, 17 p. (2023). MSC: 35K05 35K20 35A01 PDFBibTeX XMLCite \textit{M. Fila} et al., Z. Angew. Math. Phys. 74, No. 4, Paper No. 143, 17 p. (2023; Zbl 1518.35425) Full Text: DOI arXiv
Casal, Alfonso Carlos; Díaz, Gregorio; Díaz, Jesús Ildefonso; Vegas, José Manuel Controlled boundary explosions: dynamics after blow-up for some semilinear problems with global controls. (English) Zbl 1518.35139 Discrete Contin. Dyn. Syst. 43, No. 3-4, 1201-1238 (2023). MSC: 35B44 35B60 35J66 35K58 49J30 34K40 PDFBibTeX XMLCite \textit{A. C. Casal} et al., Discrete Contin. Dyn. Syst. 43, No. 3--4, 1201--1238 (2023; Zbl 1518.35139) Full Text: DOI arXiv
Podolskiy, A. V.; Shaposhnikova, T. A. Homogenization of a parabolic equation for \(p\)-Laplace operator in a domain perforated along \((n-1)\)-dimensional manifold with dynamical boundary condition specified on perforations boundary: critical case. (English) Zbl 1503.35023 Domoshnitsky, Alexander (ed.) et al., Functional differential equations and applications, FDEA-2019. Proceedings of the 7th international conference, Ariel, Israel, September 22–27, 2019. Singapore: Springer. Springer Proc. Math. Stat. 379, 225-242 (2021). MSC: 35B27 35K20 35K92 PDFBibTeX XMLCite \textit{A. V. Podolskiy} and \textit{T. A. Shaposhnikova}, Springer Proc. Math. Stat. 379, 225--242 (2021; Zbl 1503.35023) Full Text: DOI
Mamani Luna, Tito L.; Madeira, Gustavo Ferron Parabolic Kirchhoff equations with non-homogeneous flux boundary conditions: well-posedness, regularity and asymptotic behavior. (English) Zbl 1469.35127 Nonlinearity 34, No. 8, 5844-5871 (2021). MSC: 35K59 35K20 35B35 35B40 35B45 35B65 PDFBibTeX XMLCite \textit{T. L. Mamani Luna} and \textit{G. F. Madeira}, Nonlinearity 34, No. 8, 5844--5871 (2021; Zbl 1469.35127) Full Text: DOI
Kielty, Derek Singular limits of sign-changing weighted eigenproblems. (English) Zbl 1472.35402 Asymptotic Anal. 122, No. 1-2, 165-200 (2021). MSC: 35Q92 35Q79 92D25 92D40 80A19 47A75 PDFBibTeX XMLCite \textit{D. Kielty}, Asymptotic Anal. 122, No. 1--2, 165--200 (2021; Zbl 1472.35402) Full Text: DOI arXiv
Alqahtani, Awatif; Jleli, Mohamed; Kirane, Mokhtar; Samet, Bessem An exterior parabolic differential inequality under semilinear dynamical boundary conditions. (English) Zbl 1462.35475 Bull. Malays. Math. Sci. Soc. (2) 44, No. 2, 639-660 (2021). MSC: 35R45 35K58 35K61 35B44 35B33 PDFBibTeX XMLCite \textit{A. Alqahtani} et al., Bull. Malays. Math. Sci. Soc. (2) 44, No. 2, 639--660 (2021; Zbl 1462.35475) Full Text: DOI
Fila, Marek; Ishige, Kazuhiro; Kawakami, Tatsuki The large diffusion limit for the heat equation with a dynamical boundary condition. (English) Zbl 1450.35031 Commun. Contemp. Math. 23, No. 1, Article ID 2050003, 20 p. (2021). MSC: 35B25 35K05 35A01 35K20 35B30 PDFBibTeX XMLCite \textit{M. Fila} et al., Commun. Contemp. Math. 23, No. 1, Article ID 2050003, 20 p. (2021; Zbl 1450.35031) Full Text: DOI arXiv
Gregorio, Federica; Mugnolo, Delio Higher-order operators on networks: hyperbolic and parabolic theory. (English) Zbl 1462.35425 Integral Equations Oper. Theory 92, No. 6, Paper No. 50, 22 p. (2020); corrigendum ibid. 92, No. 6, Paper No. 54, 1 p. (2020). MSC: 35R02 35K35 35L35 34B45 47D06 PDFBibTeX XMLCite \textit{F. Gregorio} and \textit{D. Mugnolo}, Integral Equations Oper. Theory 92, No. 6, Paper No. 50, 22 p. (2020; Zbl 1462.35425) Full Text: DOI arXiv
Bandle, Catherine; Wagner, Alfred Shape optimization for an elliptic operator with infinitely many positive and negative eigenvalues. (English) Zbl 1385.49011 Adv. Nonlinear Anal. 7, No. 1, 49-66 (2018). Reviewer: Kurt Marti (München) MSC: 49K20 49R05 PDFBibTeX XMLCite \textit{C. Bandle} and \textit{A. Wagner}, Adv. Nonlinear Anal. 7, No. 1, 49--66 (2018; Zbl 1385.49011) Full Text: DOI arXiv
von Below, Joachim; Vasseur, Baptiste Instability of stationary solutions of evolution equations on graphs under dynamical node transition. (English) Zbl 1335.35262 Mugnolo, Delio (ed.), Mathematical technology of networks. Bielefeld, December 2013. Selected papers based on the presentations at the conference, Bielefeld, Germany, December 4–7, 2013. Cham: Springer (ISBN 978-3-319-16618-6/hbk; 978-3-319-16619-3/ebook). Springer Proceedings in Mathematics & Statistics 128, 13-26 (2015). MSC: 35R02 35K57 35B35 PDFBibTeX XMLCite \textit{J. von Below} and \textit{B. Vasseur}, Springer Proc. Math. Stat. 128, 13--26 (2015; Zbl 1335.35262) Full Text: DOI
Cuesta, Mabel; Leadi, Liamidi Weighted eigenvalue problems for quasilinear elliptic operators with mixed Robin-Dirichlet boundary conditions. (English) Zbl 1302.35287 J. Math. Anal. Appl. 422, No. 1, 1-26 (2015). MSC: 35P30 35J92 PDFBibTeX XMLCite \textit{M. Cuesta} and \textit{L. Leadi}, J. Math. Anal. Appl. 422, No. 1, 1--26 (2015; Zbl 1302.35287) Full Text: DOI
Mugnolo, Delio Asymptotics of semigroups generated by operator matrices. (English) Zbl 1329.47041 Arab. J. Math. 3, No. 4, 419-435 (2014). Reviewer: Norbert Youmbi (Loretto) MSC: 47D06 PDFBibTeX XMLCite \textit{D. Mugnolo}, Arab. J. Math. 3, No. 4, 419--435 (2014; Zbl 1329.47041) Full Text: DOI arXiv
ter Elst, A. F. M.; Meyries, M.; Rehberg, J. Parabolic equations with dynamical boundary conditions and source terms on interfaces. (English) Zbl 1317.35104 Ann. Mat. Pura Appl. (4) 193, No. 5, 1295-1318 (2014). Reviewer: Stephan Fackler (Ulm) MSC: 35K20 35K59 35M13 35R05 PDFBibTeX XMLCite \textit{A. F. M. ter Elst} et al., Ann. Mat. Pura Appl. (4) 193, No. 5, 1295--1318 (2014; Zbl 1317.35104) Full Text: DOI arXiv
Hömberg, D.; Krumbiegel, K.; Rehberg, J. Optimal control of a parabolic equation with dynamic boundary condition. (English) Zbl 1260.49035 Appl. Math. Optim. 67, No. 1, 3-31 (2013). MSC: 49K20 49N60 35K05 PDFBibTeX XMLCite \textit{D. Hömberg} et al., Appl. Math. Optim. 67, No. 1, 3--31 (2013; Zbl 1260.49035) Full Text: DOI
Gal, Ciprian G. Sharp estimates for the global attractor of scalar reaction-diffusion equations with a Wentzell boundary condition. (English) Zbl 1241.35121 J. Nonlinear Sci. 22, No. 1, 85-106 (2012). MSC: 35K57 35K55 35B40 35B41 37L30 PDFBibTeX XMLCite \textit{C. G. Gal}, J. Nonlinear Sci. 22, No. 1, 85--106 (2012; Zbl 1241.35121) Full Text: DOI arXiv
Auchmuty, Giles Bases and comparison results for linear elliptic eigenproblems. (English) Zbl 1238.35069 J. Math. Anal. Appl. 390, No. 1, 394-406 (2012). MSC: 35P15 49R05 46C05 15A63 47A75 PDFBibTeX XMLCite \textit{G. Auchmuty}, J. Math. Anal. Appl. 390, No. 1, 394--406 (2012; Zbl 1238.35069) Full Text: DOI
Vázquez, Juan Luis; Vitillaro, Enzo Heat equation with dynamical boundary conditions of reactive-diffusive type. (English) Zbl 1213.35243 J. Differ. Equations 250, No. 4, 2143-2161 (2011). Reviewer: Cheng He (Beijing) MSC: 35K20 35K05 PDFBibTeX XMLCite \textit{J. L. Vázquez} and \textit{E. Vitillaro}, J. Differ. Equations 250, No. 4, 2143--2161 (2011; Zbl 1213.35243) Full Text: DOI arXiv
Vázquez, Juan Luis; Vitillaro, Enzo On the Laplace equation with dynamical boundary conditions of reactive-diffusive type. (English) Zbl 1167.35019 J. Math. Anal. Appl. 354, No. 2, 674-688 (2009). MSC: 35J60 35J65 35B65 35A22 35C05 PDFBibTeX XMLCite \textit{J. L. Vázquez} and \textit{E. Vitillaro}, J. Math. Anal. Appl. 354, No. 2, 674--688 (2009; Zbl 1167.35019) Full Text: DOI
Álvarez-Caudevilla, Pablo; López-Gómez, Julián Metasolutions in cooperative systems. (English) Zbl 1154.92036 Nonlinear Anal., Real World Appl. 9, No. 3, 1119-1157 (2008). Reviewer: J. M. Tchuenche (Dar es Salaam) MSC: 92D25 35K50 35K57 PDFBibTeX XMLCite \textit{P. Álvarez-Caudevilla} and \textit{J. López-Gómez}, Nonlinear Anal., Real World Appl. 9, No. 3, 1119--1157 (2008; Zbl 1154.92036) Full Text: DOI
Henrot, Antoine; Privat, Yannick Shape minimization of dendritic attenuation. (English) Zbl 1133.92003 Appl. Math. Optimization 57, No. 1, 1-16 (2008). MSC: 92C20 35Q92 65K10 49N90 PDFBibTeX XMLCite \textit{A. Henrot} and \textit{Y. Privat}, Appl. Math. Optim. 57, No. 1, 1--16 (2008; Zbl 1133.92003) Full Text: DOI arXiv
Bandle, C.; von Below, J.; Reichel, W. Positivity and anti-maximum principles for elliptic operators with mixed boundary conditions. (English) Zbl 1167.35012 J. Eur. Math. Soc. (JEMS) 10, No. 1, 73-104 (2008). MSC: 35J25 35B50 PDFBibTeX XMLCite \textit{C. Bandle} et al., J. Eur. Math. Soc. (JEMS) 10, No. 1, 73--104 (2008; Zbl 1167.35012) Full Text: DOI