Guo, Dandan; Zhang, Zhifei General decay results for a viscoelastic wave equation with the logarithmic nonlinear source and dynamic Wentzell boundary condition. (English) Zbl 07916219 Nonlinear Anal., Real World Appl. 80, Article ID 104149, 13 p. (2024). MSC: 35B40 35L20 35L71 × Cite Format Result Cite Review PDF Full Text: DOI
Goncharov, Nikita Sergeevich; Sviridyuk, Georgiĭ Anatol’evich Analysis of the system of Wentzell equations in the circle and on its boundary. (English) Zbl 07899481 J. Comput. Eng. Math. 10, No. 1, 12-20 (2023). MSC: 35G15 65N30 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Li, Chan; Liang, Jin; Xiao, Ti-Jun Regularity and stability of wave equations with variable coefficients and Wentzell type boundary conditions. (English) Zbl 1526.35065 J. Differ. Equations 374, 548-592 (2023). MSC: 35B40 35B35 35B30 35L25 47D06 74M05 × Cite Format Result Cite Review PDF Full Text: DOI
Goncharov, Nikita Sergeevich The Poisson equation with Wentzell boundary conditions in the square. (English) Zbl 1524.35148 J. Comput. Eng. Math. 9, No. 3, 30-38 (2022). MSC: 35G15 65N30 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Aayadi, Khadija; Akhlil, Khalid; Ben Aadi, Sultana; El Ouali, Mourad Multivalued nonmonotone dynamic boundary condition. (English) Zbl 07509887 Bound. Value Probl. 2021, Paper No. 43, 18 p. (2021). MSC: 47H04 47H14 47H30 47J20 47J22 47J35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Goncharov, Nikita Sergeevich; Zagrebina, Sof’ya Aleksandrovna; Sviridyuk, Georgiĭ Anatol’evich Non-uniqueness of solutions to boundary value problems with Wentzell condition. (English) Zbl 1489.35050 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 14, No. 4, 102-105 (2021). MSC: 35J25 35J40 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Denk, Robert; Kunze, Markus; Ploß, David The Bi-Laplacian with Wentzell boundary conditions on Lipschitz domains. (English) Zbl 1462.35164 Integral Equations Oper. Theory 93, No. 2, Paper No. 13, 26 p. (2021). MSC: 35K35 47A07 47D06 35B65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Li, Chan; Liang, Jin; Xiao, Ti-Jun Asymptotic behaviours of solutions for wave equations with damped Wentzell boundary conditions but no interior damping. (English) Zbl 1458.35060 J. Differ. Equations 271, 76-106 (2021). Reviewer: Giuseppe Maria Coclite (Bari) MSC: 35B40 47D06 93D15 74D10 35B35 35B30 74M05 35L20 × Cite Format Result Cite Review PDF Full Text: DOI
Bänsch, Eberhard; Gahn, Markus A mixed finite-element method for elliptic operators with Wentzell boundary condition. (English) Zbl 1468.65184 IMA J. Numer. Anal. 40, No. 1, 87-108 (2020). Reviewer: Ilia V. Boikov (Penza) MSC: 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Mokhtar-Kharroubi, Mustapha Spectra of structured diffusive population equations with generalized Wentzell-Robin boundary conditions and related topics. (English) Zbl 07293008 Discrete Contin. Dyn. Syst., Ser. S 13, No. 12, 3551-3563 (2020). MSC: 47D06 92D25 35B40 35B50 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Goldstein, Gisèle Ruiz; Goldstein, Jerome A.; Guidetti, Davide; Romanelli, Silvia The fourth order Wentzell heat equation. (English) Zbl 1494.35090 Banasiak, Jacek (ed.) et al., Semigroups of operators – theory and applications. Selected papers based on the presentations at the conference, SOTA 2018, Kazimierz Dolny, Poland, September 30 – October 5, 2018. In honour of Jan Kisyński’s 85th birthday. Cham: Springer. Springer Proc. Math. Stat. 325, 215-226 (2020). MSC: 35K20 35L90 47D06 × Cite Format Result Cite Review PDF Full Text: DOI
Kopytko, Bohdan; Shevchuk, Roman One-dimensional diffusion processes with moving membrane: partial reflection in combination with jump-like exit of process from membrane. (English) Zbl 1441.60061 Electron. J. Probab. 25, Paper No. 41, 21 p. (2020). MSC: 60J60 35K20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Palmer, Bennett Stability of spherically confined free boundary drops with line tension. (English) Zbl 1446.53009 Ann. Global Anal. Geom. 57, No. 2, 289-303 (2020). MSC: 53A10 35J20 × Cite Format Result Cite Review PDF Full Text: DOI
Bou-Rabee, Nawaf; Holmes-Cerfon, Miranda C. Sticky Brownian motion and its numerical solution. (English) Zbl 1444.60048 SIAM Rev. 62, No. 1, 164-195 (2020). MSC: 60H10 65C30 60J60 60J65 35K05 35K20 65M06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ismailov, Mansur I.; Tekin, Ibrahim; Erkovan, Sait An inverse problem for finding the lowest term of a heat equation with Wentzell-Neumann boundary condition. (English) Zbl 1467.35349 Inverse Probl. Sci. Eng. 27, No. 11, 1608-1634 (2019). Reviewer: Giuseppe Maria Coclite (Bari) MSC: 35R30 35K20 65M32 × Cite Format Result Cite Review PDF Full Text: DOI
Berggren, Martin; Bernland, Anders; Noreland, Daniel Acoustic boundary layers as boundary conditions. (English) Zbl 1415.76553 J. Comput. Phys. 371, 633-650 (2018). MSC: 76Q05 76N20 76M25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mokhtar-Kharroubi, Mustapha; Richard, Quentin Time asymptotics of structured populations with diffusion and dynamic boundary conditions. (English) Zbl 06996867 Discrete Contin. Dyn. Syst., Ser. B 23, No. 10, 4087-4116 (2018). MSC: 47D06 92D25 35B40 35B50 × Cite Format Result Cite Review PDF Full Text: DOI
Grothaus, Martin; Voßhall, Robert Strong Feller property of sticky reflected distorted Brownian motion. (English) Zbl 1429.60073 J. Theor. Probab. 31, No. 2, 827-852 (2018). Reviewer: Uwe Franz (Besançon) MSC: 60K35 60J50 60J55 60J35 82B41 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ismailov, Mansur I. Inverse source problem for heat equation with nonlocal Wentzell boundary condition. (English) Zbl 1393.35287 Result. Math. 73, No. 2, Paper No. 68, 11 p. (2018). MSC: 35R30 35K20 35K05 34B09 × Cite Format Result Cite Review PDF Full Text: DOI
Kovács, Balázs; Lubich, Christian Numerical analysis of parabolic problems with dynamic boundary conditions. (English) Zbl 1433.65216 IMA J. Numer. Anal. 37, No. 1, 1-39 (2017). MSC: 65M60 65M15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Luo, Yousong Optimal Wentzell boundary control of parabolic equations. (English) Zbl 1373.49025 Appl. Math. Optim. 75, No. 2, 151-173 (2017). MSC: 49K20 35K20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kopytko, Bohdan; Shevchuk, Roman One-dimensional diffusion processes in half-bounded domains with reflection and a possible jump-like exit from a moving boundary. (English) Zbl 1462.60103 J. Appl. Math. Comput. Mech. 15, No. 4, 71-82 (2016). MSC: 60J60 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Fattler, Torben; Grothaus, Martin; Voßhall, Robert Construction and analysis of a sticky reflected distorted Brownian motion. (English. French summary) Zbl 1342.60166 Ann. Inst. Henri Poincaré, Probab. Stat. 52, No. 2, 735-762 (2016). MSC: 60K35 60J65 60H10 60J50 60J55 60G50 82C41 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Diakhaby, Aboubakary; Ouknine, Youssef Generalized BSDEs, weak convergence, and homogenization of semilinear PDEs with the Wentzell-type boundary condition. (English) Zbl 1342.60104 Stochastic Anal. Appl. 34, No. 3, 496-509 (2016). MSC: 60H30 60H10 35B27 60F05 60G20 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Chan; Xiao, Ti-Jun A note on the IBVP for wave equations with dynamic boundary conditions. (English) Zbl 1339.35159 Bound. Value Probl. 2016, Paper No. 34, 9 p. (2016). MSC: 35L20 35L05 93B05 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Morillon, J.-P. Solving Wentzell-Dirichlet boundary value problem with superabundant data using reflecting random walk simulation. (English) Zbl 1329.65019 Methodol. Comput. Appl. Probab. 17, No. 3, 697-719 (2015). MSC: 65C30 60H15 60H35 35R60 65C05 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Pilipenko, A. Yu.; Prykhodko, Yu. E. Limit behaviour of a simple random walk with non-integrable jump from a barrier. (English) Zbl 1313.60062 Theory Stoch. Process. 19, No. 1, 52-61 (2014). MSC: 60F17 60J50 60J60 × Cite Format Result Cite Review PDF
Taira, Kazuaki Semigroups, boundary value problems and Markov processes. 2nd ed. (English) Zbl 1314.47001 Springer Monographs in Mathematics. Berlin: Springer (ISBN 978-3-662-43695-0/hbk; 978-3-662-43696-7/ebook). xix, 716 p. (2014). Reviewer: Heinrich Hering (Rockenberg) MSC: 47-02 47D07 60J25 35S05 60J50 60J60 46E35 47G20 × Cite Format Result Cite Review PDF Full Text: DOI
Shevchuk, Roman Pasting of two one-dimensional diffusion processes. (English) Zbl 1265.60153 Ann. Math. Inform. 39, 225-239 (2012). MSC: 60J60 × Cite Format Result Cite Review PDF Full Text: Link
Calsina, Àngel; Farkas, József Z. Steady states in a structured epidemic model with Wentzell boundary condition. (English) Zbl 1254.35223 J. Evol. Equ. 12, No. 3, 495-512 (2012). MSC: 35Q92 92D25 35B35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Pilipenko, A. Yu. On the Skorokhod mapping for equations with reflection and possible jump-like exit from a boundary. (English. Russian original) Zbl 1280.60036 Ukr. Math. J. 63, No. 9, 1415-1432 (2012); translation from Ukr. Mat. Zh. 63, No. 9, 1241-1256 (2011). MSC: 60H10 60J25 × Cite Format Result Cite Review PDF Full Text: DOI
Kwembe, Tor A.; Zhang, Zhenbu A semilinear parabolic system with generalized Wentzell boundary condition. (English) Zbl 1242.35139 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 6, 3078-3091 (2012). Reviewer: Yakov Yakubov (Tel-Aviv) MSC: 35K51 35K58 35K57 35B44 × Cite Format Result Cite Review PDF Full Text: DOI
Farkas, József Z.; Hinow, Peter Physiologically structured populations with diffusion and dynamic boundary conditions. (English) Zbl 1260.92097 Math. Biosci. Eng. 8, No. 2, 503-513 (2011). MSC: 92D25 47D03 35Q92 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Clarke, Ted; Goldstein, Gisèle Ruiz; Goldstein, Jerome A.; Romanelli, Silvia The Wentzell telegraph equation: asymptotics and continuous dependence on the boundary conditions. (English) Zbl 1239.35099 Commun. Appl. Anal. 15, No. 2-4, 313-324 (2011). Reviewer: Georg Hebermehl (Berlin) MSC: 35L90 35B40 35B30 35K90 34G10 47D06 × Cite Format Result Cite Review PDF
Sprekels, Jürgen; Wu, Hao A note on parabolic equation with nonlinear dynamical boundary condition. (English) Zbl 1185.35131 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 6, 3028-3048 (2010). Reviewer: Dian K. Palagachev (Bari) MSC: 35K61 35B40 35B41 35B45 35K58 × Cite Format Result Cite Review PDF Full Text: DOI
Taira, Kazuaki On the existence of Feller semigroups with discontinuous coefficients. II. (English) Zbl 1175.47041 Acta Math. Sin., Engl. Ser. 25, No. 5, 715-740 (2009). MSC: 47D07 35J25 60J35 60J60 × Cite Format Result Cite Review PDF Full Text: DOI Link
Coclite, Giuseppe M.; Goldstein, Gisèle R.; Goldstein, Jerome A. Stability of parabolic problems with nonlinear Wentzell boundary conditions. (English) Zbl 1169.35005 J. Differ. Equations 246, No. 6, 2434-2447 (2009). Reviewer: Dian K. Palagachev (Bari) MSC: 35B35 35K60 47H20 × Cite Format Result Cite Review PDF Full Text: DOI
Coclite, Giuseppe M.; Goldstein, Gisèle R.; Goldstein, Jerome A. Stability estimates for parabolic problems with Wentzell boundary conditions. (English) Zbl 1158.35051 J. Differ. Equations 245, No. 9, 2595-2626 (2008). Reviewer: Yakov Yakubov (Tel-Aviv) MSC: 35K20 35B35 35J25 35B45 × Cite Format Result Cite Review PDF Full Text: DOI
Tanaka, Naoki; Engel, Klaus-Jochen Abstract quasilinear equations of second order with Wentzell boundary conditions. (English) Zbl 1071.34060 J. Evol. Equ. 4, No. 3, 313-332 (2004). Reviewer: Andras Batkai (Roma) MSC: 34G20 47D06 47D09 × Cite Format Result Cite Review PDF Full Text: DOI
Engel, Klaus-Jochen The Laplacian on \(C(\overline\Omega)\) with generalized Wentzell boundary conditions. (English) Zbl 1064.47043 Arch. Math. 81, No. 5, 548-558 (2003). Reviewer: Andras Batkai (Roma) MSC: 47D06 35J25 × Cite Format Result Cite Review PDF Full Text: DOI
Arendt, W.; Metafune, G.; Pallara, D.; Romanelli, S. The Laplacian with Wentzell-Robin boundary conditions on spaces of continuous functions. (English) Zbl 1073.47045 Semigroup Forum 67, No. 2, 247-261 (2003). Reviewer: V. A. Liskevich (Bristol) MSC: 47D06 35J20 35J25 × Cite Format Result Cite Review PDF Full Text: DOI
Vogt, Hendrik; Voigt, Jürgen Wentzell boundary conditions in the context of Dirichlet forms. (English) Zbl 1040.47032 Adv. Differ. Equ. 8, No. 7, 821-842 (2003). Reviewer: Michael Perelmuter (Kyïv) MSC: 47D06 31C25 34B05 35J25 × Cite Format Result Cite Review PDF
Favini, Angelo; Ruiz Goldstein, Gisèle; Goldstein, Jerome A.; Obrecht, Enrico; Romanelli, Silvia The Laplacian with generalized Wentzell boundary conditions. (English) Zbl 1130.35328 Iannelli, Mimmo (ed.) et al., Evolution equations: applications to physics, industry, life sciences and economics. Proceedings of the 7th international conference on evolution equations and their applications, EVEQ2000 conference, Levico Terme, Italy, October 30–November 4, 2000. Basel: Birkhäuser (ISBN 3-7643-0374-3/hbk). Prog. Nonlinear Differ. Equ. Appl. 55, 169-180 (2003). Reviewer: Evgeniy A. Kalita (Donetsk) MSC: 35J25 47D03 35B30 × Cite Format Result Cite Review PDF
Favini, Angelo; Goldstein, Gisèle R.; Goldstein, Jerome A.; Romanelli, Silvia General Wentzell boundary conditions, differential operators and analytic semigroups in \(C[0,1]\). (English) Zbl 1057.47042 Bol. Soc. Parana. Mat. (3) 20, No. 1-2, 93-104 (2002). Reviewer: Nguyen Van Minh (Carrollton) MSC: 47D06 34G10 35J25 × Cite Format Result Cite Review PDF
Favini, Angelo; Ruiz Goldstein, Giséle; Goldstein, Jerome A.; Romanelli, Silvia \(C_{0}\)-semigroups generated by second order differential operators with general Wentzell boundary conditions. (English) Zbl 0947.47034 Proc. Am. Math. Soc. 128, No. 7, 1981-1989 (2000). Reviewer: W.Lamb (Glasgow) MSC: 47D06 47E05 47H06 35J25 × Cite Format Result Cite Review PDF Full Text: DOI
Taira, K. Feller semigroups and degenerate elliptic operators. II. (English) Zbl 1200.47056 Conf. Semin. Mat. Univ. Bari 1999, No. 275, ii, 34 p. (1999). MSC: 47D07 35J70 35J25 60J35 × Cite Format Result Cite Review PDF
Taira, Kazuaki Feller semigroups and degenerate elliptic operators. I. (English) Zbl 1200.47057 Conf. Semin. Mat. Univ. Bari 1999, No. 274, ii, 33 p. (1999). MSC: 47D07 35J70 35J25 60J35 × Cite Format Result Cite Review PDF
Goldstein, Jerome A.; Lin, Chinyuan; Wang, Kunyang Degenerate nonlinear parabolic problems: The influence of probability theory. (English) Zbl 0894.35058 Goldstein, Jerome A. (ed.) et al., Stochastic processes and functional analysis. In celebration of M. M. Rao’s 65th birthday. Proceedings of the conference, Riverside, CA, USA, November 18–20, 1994. New York, NY: Marcel Dekker. Lect. Notes Pure Appl. Math. 186, 101-111 (1997). Reviewer: V.N.Grebenev (Novosibirsk) MSC: 35K65 47H20 35D05 35D10 60J60 × Cite Format Result Cite Review PDF
Ishikawa, Yasushi A remark on the existence of a diffusion process with non-local boundary conditions. (English) Zbl 0699.60072 J. Math. Soc. Japan 42, No. 1, 171-184 (1990). MSC: 60J60 60J50 60H07 × Cite Format Result Cite Review PDF Full Text: DOI
Ishikawa, Yasushi A remark on the existence of a diffusion process with non-local boundary conditions. (English) Zbl 0679.60079 J. Math. Soc. Japan (to appear). Reviewer: Y.Ishikawa MSC: 60J60 60J50 60H07 × Cite Format Result Cite Review PDF
Takanobu, Satoshi; Watanabe, Shinzo On the existence and uniqueness of diffusion processes with Wentzell’s boundary conditions. (English) Zbl 0665.60062 J. Math. Kyoto Univ. 28, No. 1, 71-80 (1988). Reviewer: C.Vârsan MSC: 60H10 60J60 × Cite Format Result Cite Review PDF Full Text: DOI
Baxter, J. R.; Chacon, R. V. The equivalence of diffussions on networks to Brownian motion. (English) Zbl 0546.60080 Contemp. Math. 26, 33-48 (1984). Reviewer: R.Mikulevičius MSC: 60J60 58J65 60J65 × Cite Format Result Cite Review PDF Full Text: DOI