Lopushenko, I. V.; Sveshnikov, A. G. Discrete sources method to solve nonlocal scattering problems in plasmonic applications. (English) Zbl 1450.78004 Lobachevskii J. Math. 41, No. 7, 1337-1353 (2020). MSC: 78A25 78A45 76X05 78M99 65N99 35J05 82D10 82D80 PDF BibTeX XML Cite \textit{I. V. Lopushenko} and \textit{A. G. Sveshnikov}, Lobachevskii J. Math. 41, No. 7, 1337--1353 (2020; Zbl 1450.78004) Full Text: DOI
Boukrouche, Mahdi; Tarzia, Domingo A. A heat conduction problem with sources depending on the average of the heat flux on the boundary. (English) Zbl 1439.35203 Rev. Unión Mat. Argent. 61, No. 1, 87-101 (2020). MSC: 35K20 35C15 35K05 35K60 45D05 45E10 80A19 80A21 PDF BibTeX XML Cite \textit{M. Boukrouche} and \textit{D. A. Tarzia}, Rev. Unión Mat. Argent. 61, No. 1, 87--101 (2020; Zbl 1439.35203) Full Text: DOI
Eremin, Yuri; Doicu, Adrian; Wriedt, Thomas The numerical scheme of the discrete sources method to analyze 3D plasmonic nanostructures accounting for the non-local effect. (English) Zbl 1452.65380 J. Comput. Phys. 388, 357-370 (2019). MSC: 65N38 65Z05 82D80 78A45 PDF BibTeX XML Cite \textit{Y. Eremin} et al., J. Comput. Phys. 388, 357--370 (2019; Zbl 1452.65380) Full Text: DOI
Ma, Lingwei; Fang, Zhong Bo Secondary critical exponent and life span for a nonlocal parabolic \(p\)-Laplace equation. (English) Zbl 1391.35239 Appl. Anal. 97, No. 5, 775-786 (2018). MSC: 35K65 35B33 35B40 PDF BibTeX XML Cite \textit{L. Ma} and \textit{Z. B. Fang}, Appl. Anal. 97, No. 5, 775--786 (2018; Zbl 1391.35239) Full Text: DOI
Eremin, Yu. A.; Lopushenko, I. V. Account for the nonlocal effect in light scattering by plasmonic nanoparticles in the hybrid scheme of the discrete sources method. (English. Russian original) Zbl 1384.82015 Mosc. Univ. Comput. Math. Cybern. 41, No. 4, 165-172 (2017); translation from Vestn. Mosk. Univ., Ser. XV 2017, No. 4, 14-21 (2017). MSC: 82D35 82D80 78A60 82-08 78A45 78M25 PDF BibTeX XML Cite \textit{Yu. A. Eremin} and \textit{I. V. Lopushenko}, Mosc. Univ. Comput. Math. Cybern. 41, No. 4, 165--172 (2017; Zbl 1384.82015); translation from Vestn. Mosk. Univ., Ser. XV 2017, No. 4, 14--21 (2017) Full Text: DOI
Ma, Lingwei; Fang, Zhong Bo A new second critical exponent and life span for a quasilinear degenerate parabolic equation with weighted nonlocal sources. (English) Zbl 1364.35167 Commun. Pure Appl. Anal. 16, No. 5, 1697-1706 (2017). MSC: 35K65 35B30 35B40 PDF BibTeX XML Cite \textit{L. Ma} and \textit{Z. B. Fang}, Commun. Pure Appl. Anal. 16, No. 5, 1697--1706 (2017; Zbl 1364.35167) Full Text: DOI
Boukrouche, Mahdi; Tarzia, Domingo A. Non-classical heat conduction problem with nonlocal source. (English) Zbl 1360.35041 Bound. Value Probl. 2017, Paper No. 51, 14 p. (2017). MSC: 35C15 35K05 35K20 35K60 45D05 45E10 80A20 PDF BibTeX XML Cite \textit{M. Boukrouche} and \textit{D. A. Tarzia}, Bound. Value Probl. 2017, Paper No. 51, 14 p. (2017; Zbl 1360.35041) Full Text: DOI arXiv
Zhong, Guangsheng; Tian, Lixin Blow-up for a parabolic system with nonlocal sources and nonlocal boundary conditions. (English) Zbl 1325.35083 Bound. Value Probl. 2015, Paper No. 61, 14 p. (2015). MSC: 35K40 35A01 35B44 PDF BibTeX XML Cite \textit{G. Zhong} and \textit{L. Tian}, Bound. Value Probl. 2015, Paper No. 61, 14 p. (2015; Zbl 1325.35083) Full Text: DOI
Wu, Xiulan; Gao, Wenjie Global existence and blow-up solution for doubly degenerate parabolic system with nonlocal sources and inner absorptions. (English) Zbl 1288.35318 Math. Methods Appl. Sci. 37, No. 4, 551-561 (2014). MSC: 35K65 35B40 35K51 35B44 35K59 PDF BibTeX XML Cite \textit{X. Wu} and \textit{W. Gao}, Math. Methods Appl. Sci. 37, No. 4, 551--561 (2014; Zbl 1288.35318) Full Text: DOI
Ling, Zhengqiu; Wang, Zejia Global existence and finite time blowup for a nonlocal parabolic system. (English) Zbl 1270.35072 Bull. Belg. Math. Soc. - Simon Stevin 20, No. 2, 371-383 (2013). MSC: 35B33 35K51 35K58 35R09 35B44 PDF BibTeX XML Cite \textit{Z. Ling} and \textit{Z. Wang}, Bull. Belg. Math. Soc. - Simon Stevin 20, No. 2, 371--383 (2013; Zbl 1270.35072) Full Text: Euclid
Ye, Zhuan; Xu, Xiaojing Global existence and blow-up for a porous medium system with nonlocal boundary conditions and nonlocal sources. (English) Zbl 1263.35128 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 82, 115-126 (2013). MSC: 35K45 74H40 35K65 35K59 35B44 35R09 PDF BibTeX XML Cite \textit{Z. Ye} and \textit{X. Xu}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 82, 115--126 (2013; Zbl 1263.35128) Full Text: DOI
Ling, Zhengqiu; Wang, Zejia Simultaneous and non-simultaneous blow-up and uniform blow-up profiles for reaction-diffusion system. (English) Zbl 1288.35119 Electron. J. Differ. Equ. 2012, Paper No. 206, 9 p. (2012). MSC: 35B44 35B33 35B40 35K55 35K57 35K20 35R09 PDF BibTeX XML Cite \textit{Z. Ling} and \textit{Z. Wang}, Electron. J. Differ. Equ. 2012, Paper No. 206, 9 p. (2012; Zbl 1288.35119) Full Text: EMIS
Ling, Zhengqiu; Wang, Zejia Blow-up problems for a compressible reactive gas model. (English) Zbl 1278.35031 Bound. Value Probl. 2012, Paper No. 101, 16 p. (2012). MSC: 35B44 76N15 35K65 35K20 PDF BibTeX XML Cite \textit{Z. Ling} and \textit{Z. Wang}, Bound. Value Probl. 2012, Paper No. 101, 16 p. (2012; Zbl 1278.35031) Full Text: DOI
Gao, Wenjie; Han, Yuzhu A parabolic system with nonlocal boundary conditions and nonlocal sources. (English) Zbl 1252.35152 Commun. Korean Math. Soc. 27, No. 3, 629-644 (2012). Reviewer: Dian K. Palagachev (Bari) MSC: 35K51 35K65 35K59 35B44 35R09 PDF BibTeX XML Cite \textit{W. Gao} and \textit{Y. Han}, Commun. Korean Math. Soc. 27, No. 3, 629--644 (2012; Zbl 1252.35152) Full Text: DOI
Jiang, Liangjun; Li, Huiling Uniform blow-up properties for a degenerate parabolic system with nonlocal sources. (Chinese. English summary) Zbl 1224.35228 Acta Math. Sci., Ser. A, Chin. Ed. 29, No. 6, 1665-1678 (2009). MSC: 35K65 PDF BibTeX XML Cite \textit{L. Jiang} and \textit{H. Li}, Acta Math. Sci., Ser. A, Chin. Ed. 29, No. 6, 1665--1678 (2009; Zbl 1224.35228)
Jiang, Liangjun; Li, Huiling; Hu, Jun Uniform blow-up properties for a parabolic system with nonlocal sources. (English) Zbl 1212.35200 Math. Appl. 22, No. 2, 317-325 (2009). MSC: 35K40 35K55 35K60 35B05 PDF BibTeX XML Cite \textit{L. Jiang} et al., Math. Appl. 22, No. 2, 317--325 (2009; Zbl 1212.35200)
Colombo, Rinaldo M.; Guerra, Graziano Balance laws as quasidifferential equations in metric spaces. (English) Zbl 1190.35150 Tadmor, Eitan (ed.) et al., Hyperbolic problems. Theory, numerics and applications. Contributed talks. Proceedings of the 12th international conference on hyperbolic problems, June 9–13, 2008. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4730-5/hbk; 978-0-8218-4728-2/2-vol. set). Proceedings of Symposia in Applied Mathematics 67, Part 2, 527-536 (2009). MSC: 35L65 47J35 PDF BibTeX XML Cite \textit{R. M. Colombo} and \textit{G. Guerra}, Proc. Symp. Appl. Math. 67, 527--536 (2009; Zbl 1190.35150)
Zheng, Sining; Kong, Linghua Roles of weight functions in a nonlinear nonlocal parabolic system. (English) Zbl 1138.35340 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 68, No. 8, 2406-2416 (2008). MSC: 35K50 35B33 35K55 PDF BibTeX XML Cite \textit{S. Zheng} and \textit{L. Kong}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 68, No. 8, 2406--2416 (2008; Zbl 1138.35340) Full Text: DOI
Fan, Mingshu; Mu, Chunlai; Du, Lili Uniform blow-up profiles for a nonlocal degenerate parabolic system. (English) Zbl 1144.35320 Appl. Math. Sci., Ruse 1, No. 1-4, 13-23 (2007). MSC: 35B05 35B40 35K57 35K65 35K50 45K05 PDF BibTeX XML Cite \textit{M. Fan} et al., Appl. Math. Sci., Ruse 1, No. 1--4, 13--23 (2007; Zbl 1144.35320)
Lu, Haihua; Wang, Mingxin Global solutions and blow-up problems for a nonlinear degenerate parabolic system coupled via nonlocal sources. (English) Zbl 1151.35042 J. Math. Anal. Appl. 333, No. 2, 984-1007 (2007). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35K50 35B40 35K55 PDF BibTeX XML Cite \textit{H. Lu} and \textit{M. Wang}, J. Math. Anal. Appl. 333, No. 2, 984--1007 (2007; Zbl 1151.35042) Full Text: DOI
Zhang, Hui; Xu, Hongying Global existence and blow-up of solution to a nonlocal parabolic system. (Chinese. English summary) Zbl 1097.35069 J. Sichuan Norm. Univ., Nat. Sci. 28, No. 6, 671-673 (2005). MSC: 35K50 45K05 35B33 35K60 35K57 35B40 PDF BibTeX XML Cite \textit{H. Zhang} and \textit{H. Xu}, J. Sichuan Norm. Univ., Nat. Sci. 28, No. 6, 671--673 (2005; Zbl 1097.35069)
Borş, C. I. On the thermodynamics of nonlocal continua. (English) Zbl 0582.73005 Bul. Inst. Politeh. Iaşi, Secţ. I 28(32), 23-27 (1982). MSC: 74A15 PDF BibTeX XML Cite \textit{C. I. Borş}, Bul. Inst. Politeh. Iaşi, Secţ. I 28(32), 23--27 (1982; Zbl 0582.73005)
Mallet-Paret, John; Yorke, James A. Two types of Hopf bifurcation points: Sources and sinks of families of periodic orbits. (English) Zbl 0485.58014 Nonlinear dynamics, int. Conf., New York 1979, Ann. N.Y. Acad. Sci. 357, 300-304 (1980). MSC: 37G99 34C25 PDF BibTeX XML