Burq, Nicolas; Moyano, Iván Propagation of smallness and control for heat equations. (English) Zbl 1514.35068 J. Eur. Math. Soc. (JEMS) 25, No. 4, 1349-1377 (2023). MSC: 35B45 35A02 35K20 58J35 93B05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Francini, Elisa; Vessella, Sergio; Wang, Jenn-Nan Propagation of smallness and size estimate in the second order elliptic equation with discontinuous complex Lipschitz conductivity. (English) Zbl 1537.35117 J. Differ. Equations 343, 687-717 (2023). MSC: 35B60 35B45 35J15 35R30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Iskandarov, Samandar Estimate and asymptotic smallness of solutions of a weakly nonlinear implicit Volterra integro-differential equation of the first order on the semiaxis. (English) Zbl 1492.45008 Lobachevskii J. Math. 42, No. 15, 3645-3651 (2021). Reviewer: Stig-Olof Londen (Aalto) MSC: 45J05 45D05 45M05 × Cite Format Result Cite Review PDF Full Text: DOI
Khatamov, A.; Norkulov, E. A. Exact estimates of the best rational approximations of functions with derivative of generalized finite variation. (English. Russian original) Zbl 1493.41005 Russ. Math. 65, No. 10, 63-68 (2021); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2021, No. 10, 71-77 (2021). MSC: 41A15 41A25 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Yiping Approximate two-sphere one-cylinder inequality in parabolic periodic homogenization. (English) Zbl 1476.35027 SIAM J. Math. Anal. 53, No. 5, 5835-5852 (2021). Reviewer: Yao Xu (Beijing) MSC: 35B27 35C15 35K10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cârstea, Cătălin I.; Wang, Jenn-Nan Propagation of smallness for an elliptic PDE with piecewise Lipschitz coefficients. (English) Zbl 1445.35134 J. Differ. Equations 268, No. 12, 7609-7628 (2020). Reviewer: Yang Yang (Wuxi) MSC: 35J15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Speck, Jared Stable ODE-type blowup for some quasilinear wave equations with derivative-quadratic nonlinearities. (English) Zbl 1439.35094 Anal. PDE 13, No. 1, 93-146 (2020). Reviewer: Dongbing Zha (Shanghai) MSC: 35B44 35L72 35L67 35L15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kim, Daewook Exponential decay for the solution of the viscoelastic Kirchhoff type equation with memory condition at the boundary. (English) Zbl 1395.35033 East Asian Math. J. 34, No. 1, 69-84 (2018). MSC: 35B40 35L72 35L20 35R09 74D10 × Cite Format Result Cite Review PDF Full Text: DOI
Baldassari, Lorenzo; Vessella, Sergio A straightforward proof of Carleman estimate for second-order elliptic operator and a three-sphere inequality. (English) Zbl 1391.35406 J. Inverse Ill-Posed Probl. 26, No. 3, 411-422 (2018). MSC: 35R25 35J15 35B45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Francini, Elisa; Vessella, Sergio Carleman estimates for the parabolic transmission problem and Hölder propagation of smallness across an interface. (English) Zbl 1391.35179 J. Differ. Equations 265, No. 6, 2375-2430 (2018). Reviewer: Dian K. Palagachev (Bari) MSC: 35K10 35R05 35B45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kim, Daewook Asymptiotic behavior for the viscoelastic Kirchhoff type equation with an internal time-varying delay term. (English) Zbl 1353.35066 East Asian Math. J. 32, No. 3, 399-412 (2016). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 35B40 35L70 35L20 74D10 35R09 × Cite Format Result Cite Review PDF Full Text: DOI
Kim, Daewook Stabilization for the viscoelastic Kirchhoff type equation with a nonlinear source. (English) Zbl 1336.35061 East Asian Math. J. 32, No. 1, 117-128 (2016). MSC: 35B40 35L71 35L20 35R09 × Cite Format Result Cite Review PDF Full Text: DOI
Escauriaza, Luis; Montaner, Santiago; Zhang, Can Observation from measurable sets for parabolic analytic evolutions and applications. (English. French summary) Zbl 1328.35070 J. Math. Pures Appl. (9) 104, No. 5, 837-867 (2015). Reviewer: Vyacheslav I. Maksimov (Ekaterinburg) MSC: 35K25 35Q93 49J20 93B05 93B07 93C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
García, Darío; Onshuus, Alf; Usvyatsov, Alexander Generic stability, forking, and thorn-forking. (English) Zbl 1273.03117 Trans. Am. Math. Soc. 365, No. 1, 1-22 (2013). MSC: 03C45 03C07 × Cite Format Result Cite Review PDF Full Text: DOI
Sidorov, N. A.; Leont’ev, R. Yu.; Dreglya, A. I. On small solutions of nonlinear equations with vector parameter in sectorial neighborhoods. (English. Russian original) Zbl 1303.47080 Math. Notes 91, No. 1, 90-104 (2012); translation from Mat. Zametki 91, No. 1, 93-108 (2012). Reviewer: Jesús Hernández (Madrid) MSC: 47J05 47J10 47A53 47J06 58E07 × Cite Format Result Cite Review PDF Full Text: DOI
Malinnikova, E.; Vessella, S. Quantitative uniqueness for elliptic equations with singular lower order terms. (English) Zbl 1250.35073 Math. Ann. 353, No. 4, 1157-1181 (2012). Reviewer: Yakov Yakubov (Tel-Aviv) MSC: 35J15 35B35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Malinnikova, E. Quantitative transfer of smallness for solutions of elliptic equations with analytic coefficients and their gradients. (English) Zbl 1188.31005 Begehr, H. G. W. (ed.) et al., More progresses in analysis. Proceedings of the 5th international ISAAC congress, Catania, Italy, July 25–30, 2005. Hackensack, NJ: World Scientific (ISBN 978-981-283-562-8/hbk). 1185-1193 (2009). Reviewer: Lubomira Softova (Aversa) MSC: 31B35 35J46 × Cite Format Result Cite Review PDF
Ukai, Seiji; Yang, Tong The Boltzmann equation in the space \(L^2\cap L^\infty_\beta\): global and time-periodic solutions. (English) Zbl 1096.35012 Anal. Appl., Singap. 4, No. 3, 263-310 (2006). MSC: 35B35 35F20 76P05 35B10 × Cite Format Result Cite Review PDF Full Text: DOI
Di Flaviano, Mariagrazia Lower bounds of the life span of classical solutions to a system of semilinear wave equations in two space dimensions. (English) Zbl 1024.35065 J. Math. Anal. Appl. 281, No. 1, 22-45 (2003). Reviewer: Marie Kopáčková (Praha) MSC: 35L55 35L15 35B40 35L70 × Cite Format Result Cite Review PDF Full Text: DOI
Moser, Roger Regularity for the approximated harmonic map equation and application to the heat flow for harmonic maps. (English) Zbl 1027.58014 Math. Z. 243, No. 2, 263-289 (2003). Reviewer: Andreas Gastel (Düsseldorf) MSC: 58E20 35D10 35J20 35K55 × Cite Format Result Cite Review PDF Full Text: DOI
Zhao, Huijiang Asymptotic behaviors of solutions of quasilinear hyperbolic equations with linear damping. II. (English) Zbl 0962.35124 J. Differ. Equations 167, No. 2, 467-494 (2000). Reviewer: Marie Kopáčková (Praha) MSC: 35L70 35B40 35L15 × Cite Format Result Cite Review PDF Full Text: DOI
Vessella, S. Quantitative continuation from a measurable set of solutions of elliptic equations. (English) Zbl 0962.35051 Proc. R. Soc. Edinb., Sect. A, Math. 130, No. 4, 909-923 (2000). Reviewer: Denise Huet (Nancy) MSC: 35J20 35B35 35B60 35R05 × Cite Format Result Cite Review PDF Full Text: DOI
Nakamura, M.; Ozawa, T. The Cauchy problem for nonlinear wave equations in the Sobolev space of critical order. (English) Zbl 0958.35011 Discrete Contin. Dyn. Syst. 5, No. 1, 215-231 (1999). Reviewer: Daniele Del Santo (Trieste) MSC: 35B33 35L70 35L15 35A07 × Cite Format Result Cite Review PDF Full Text: DOI
Bechouche, Philippe; Mauser, Norbert J.; Poupaud, Frédéric (Semi)-nonrelativistic limits of the Dirac equation with external time-dependent electromagnetic field. (English) Zbl 0926.35124 Commun. Math. Phys. 197, No. 2, 405-425 (1998). Reviewer: Vadim Komkov (Florida) MSC: 35Q40 81Q05 81V05 × Cite Format Result Cite Review PDF Full Text: DOI
Brummelhuis, Raymond Three-spheres theorem for second order elliptic equations. (English) Zbl 0851.35020 J. Anal. Math. 65, 179-206 (1995). Reviewer: S.Ruscheweyh (Würzburg) MSC: 35B45 35J15 × Cite Format Result Cite Review PDF Full Text: DOI
Komashko, O. V. On stability of Markov chains generated by piecewise-linear transformations. (English. Russian original) Zbl 0873.60046 Theory Probab. Math. Stat. 47, 65-70 (1993); translation from Teor. Jmovirn. Mat. Stat. 47, 63-69 (1992). MSC: 60J10 × Cite Format Result Cite Review PDF
Mikhajlov, L. G. On some singular partial differential equations. (English. Russian original) Zbl 0789.35045 Sov. Math., Dokl. 44, No. 1, 40-46 (1992); translation from Dokl. Akad. Nauk SSSR 319, No. 1, 46-52 (1991). MSC: 35J15 35C10 45P05 × Cite Format Result Cite Review PDF
Gao, Jianmin A theorem of global existence of solutions to nonlinear wave equations in four space dimensions. (English) Zbl 0718.35063 Monatsh. Math. 109, No. 2, 123-134 (1990). Reviewer: Jianmin Gao MSC: 35L70 35L15 46E35 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Polewczak, Jacek Global existence and asymptotic behavior for the nonlinear Enskog equation. (English) Zbl 0688.35094 SIAM J. Appl. Math. 49, No. 3, 952-959 (1989). Reviewer: J.Polewczak MSC: 35Q99 35P25 35L60 76P05 85A05 35B40 × Cite Format Result Cite Review PDF Full Text: DOI
Zhao, Yanchun The third boundary value problems of one dimensional quasilinear wave equations with boundary dissipation. (Chinese. English summary) Zbl 0688.35062 J. Fudan Univ., Nat. Sci. 27, No. 3, 313-317 (1988). MSC: 35L70 35L20 35B45 × Cite Format Result Cite Review PDF
Gao, Jianmin; Xu, Lichen A global existence theorem for the Cauchy problem of nonlinear wave equations. (English) Zbl 0676.35061 Proc. R. Soc. Edinb., Sect. A 109, No. 3-4, 261-269 (1988). Reviewer: J.M.Gao MSC: 35L70 35A05 35B30 35B40 35L05 × Cite Format Result Cite Review PDF Full Text: DOI
Trench, William F. Asymptotic integration of a perturbed constant coefficient differential equation under mild integral smallness conditions. (English) Zbl 0634.34041 SIAM J. Math. Anal. 19, No. 2, 444-459 (1988). MSC: 34E05 34C10 34D10 34E10 × Cite Format Result Cite Review PDF Full Text: DOI
Kozyakin, V. S. Neglecting small terms in the study of nonlinear systems. (English. Russian original) Zbl 0571.93029 Autom. Remote Control 45, 1275-1280 (1984); translation from Avtom. Telemekh. 1984, No. 10, 38-43 (1984). MSC: 93C10 34A34 93C15 41A58 × Cite Format Result Cite Review PDF
Lukovskij, I. A.; Pil’kevich, A. M. Nonlinear equations of wave motions of liquid in a vessel making angular shifts. (Russian) Zbl 0496.76022 Dynamics and stability of complex systems, Collect. sci. Works, Kiev 1981, 129-133 (1981). MSC: 76B99 49S05 × Cite Format Result Cite Review PDF
Ebihara, Yukiyoshi; Nanbu, Tokumori On the global solution of some nonlinear parabolic equation. II. (English) Zbl 0449.35052 Funkc. Ekvacioj, Ser. Int. 20, 273-286 (1977). MSC: 35K55 35A05 35K15 35B45 × Cite Format Result Cite Review PDF