Dou, Xu’an; Perthame, Benoît; Salort, Delphine; Zhou, Zhennan Bounds and long term convergence for the voltage-conductance kinetic system arising in neuroscience. (English) Zbl 1518.35161 Discrete Contin. Dyn. Syst. 43, No. 3-4, 1366-1382 (2023). MSC: 35B45 35B40 35B65 35Q84 92B20 PDFBibTeX XMLCite \textit{X. Dou} et al., Discrete Contin. Dyn. Syst. 43, No. 3--4, 1366--1382 (2023; Zbl 1518.35161) Full Text: DOI arXiv
Torres, Nicolás; Perthame, Benoît; Salort, Delphine A multiple time renewal equation for neural assemblies with elapsed time model. (English) Zbl 1501.35398 Nonlinearity 35, No. 10, 5051-5075 (2022). MSC: 35Q82 35B40 35F20 35R09 92B20 92C20 PDFBibTeX XMLCite \textit{N. Torres} et al., Nonlinearity 35, No. 10, 5051--5075 (2022; Zbl 1501.35398) Full Text: DOI arXiv
Torres, Nicolás; Cáceres, María J.; Perthame, Benoît; Salort, Delphine An elapsed time model for strongly coupled inhibitory and excitatory neural networks. (English) Zbl 1484.35274 Physica D 425, Article ID 132977, 11 p. (2021). MSC: 35L04 35B10 35L60 92B20 PDFBibTeX XMLCite \textit{N. Torres} et al., Physica D 425, Article ID 132977, 11 p. (2021; Zbl 1484.35274) Full Text: DOI arXiv
Roux, Pierre; Salort, Delphine Towards a further understanding of the dynamics in the excitatory NNLIF neuron model: blow-up and global existence. (English) Zbl 1505.35338 Kinet. Relat. Models 14, No. 5, 819-846 (2021). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 35Q92 92B20 92C20 35K60 35A01 35A09 35B44 68T07 82C32 82C31 35R07 35R60 PDFBibTeX XMLCite \textit{P. Roux} and \textit{D. Salort}, Kinet. Relat. Models 14, No. 5, 819--846 (2021; Zbl 1505.35338) Full Text: DOI
Kim, Jeongho; Perthame, Benoît; Salort, Delphine Fast voltage dynamics of voltage-conductance models for neural networks. (English) Zbl 1466.35350 Bull. Braz. Math. Soc. (N.S.) 52, No. 1, 101-134 (2021). Reviewer: Yaroslav Baranetskij (Lviv) MSC: 35Q92 35Q84 92B20 35B40 PDFBibTeX XMLCite \textit{J. Kim} et al., Bull. Braz. Math. Soc. (N.S.) 52, No. 1, 101--134 (2021; Zbl 1466.35350) Full Text: DOI
Torres, Nicolas; Salort, Delphine Dynamics of neural networks with elapsed time model and learning processes. (English) Zbl 1464.35380 Acta Appl. Math. 170, 1065-1099 (2020). MSC: 35Q92 92B20 35B40 35F20 35R09 68T05 PDFBibTeX XMLCite \textit{N. Torres} and \textit{D. Salort}, Acta Appl. Math. 170, 1065--1099 (2020; Zbl 1464.35380) Full Text: DOI arXiv
Perthame, Benoît; Ribes, Edouard; Salort, Delphine Career plans and wage structures: a mean field game approach. (English) Zbl 1443.91192 Math. Eng. (Springfield) 1, No. 1, 38-54 (2019). MSC: 91B39 91A16 91A80 PDFBibTeX XMLCite \textit{B. Perthame} et al., Math. Eng. (Springfield) 1, No. 1, 38--54 (2019; Zbl 1443.91192) Full Text: DOI
Cáceres, María J.; Roux, Pierre; Salort, Delphine; Schneider, Ricarda Global-in-time solutions and qualitative properties for the NNLIF neuron model with synaptic delay. (English) Zbl 1423.35148 Commun. Partial Differ. Equations 44, No. 12, 1358-1386 (2019). MSC: 35K20 35K60 35B44 35Q84 35R35 82C31 92B20 PDFBibTeX XMLCite \textit{M. J. Cáceres} et al., Commun. Partial Differ. Equations 44, No. 12, 1358--1386 (2019; Zbl 1423.35148) Full Text: DOI arXiv
Perthame, Benoît; Salort, Delphine; Wainrib, Gilles Distributed synaptic weights in a LIF neural network and learning rules. (English) Zbl 1378.92006 Physica D 353-354, 20-30 (2017). MSC: 92B20 35R60 35A35 PDFBibTeX XMLCite \textit{B. Perthame} et al., Physica D 353--354, 20--30 (2017; Zbl 1378.92006) Full Text: DOI arXiv
Kang, Moon-Jin; Perthame, Benoît; Salort, Delphine Dynamics of time elapsed inhomogeneous neuron network model. (Dynamique de réseaux de neurones inhomogènes structurés en âge.) (English. French summary) Zbl 1337.92014 C. R., Math., Acad. Sci. Paris 353, No. 12, 1111-1115 (2015). MSC: 92B20 92C20 PDFBibTeX XMLCite \textit{M.-J. Kang} et al., C. R., Math., Acad. Sci. Paris 353, No. 12, 1111--1115 (2015; Zbl 1337.92014) Full Text: DOI
Chemin, Jean-Yves; Salort, Delphine Wellposedness of some quasi-linear Schrödinger equations. (English) Zbl 1333.35225 Sci. China, Math. 58, No. 5, 891-914 (2015). Reviewer: Natalia Bondarenko (Saratov) MSC: 35Q41 35S50 35Q55 35B45 PDFBibTeX XMLCite \textit{J.-Y. Chemin} and \textit{D. Salort}, Sci. China, Math. 58, No. 5, 891--914 (2015; Zbl 1333.35225) Full Text: DOI
Pakdaman, Khashayar; Perthame, Benoît; Salort, Delphine Adaptation and fatigue model for neuron networks and large time asymptotics in a nonlinear fragmentation equation. (English) Zbl 1333.92009 J. Math. Neurosci. 4, Paper No. 14, 26 p. (2014). MSC: 92B20 35B40 35F31 PDFBibTeX XMLCite \textit{K. Pakdaman} et al., J. Math. Neurosci. 4, Paper No. 14, 26 p. (2014; Zbl 1333.92009) Full Text: DOI
Salort, Delphine Transport equations with unbounded force fields and application to the Vlasov-Poisson equation. (English) Zbl 1165.82011 Math. Models Methods Appl. Sci. 19, No. 2, 199-228 (2009). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 82B40 81U30 82C40 35F10 PDFBibTeX XMLCite \textit{D. Salort}, Math. Models Methods Appl. Sci. 19, No. 2, 199--228 (2009; Zbl 1165.82011) Full Text: DOI
Salort, Delphine The Schrödinger equation type with a nonelliptic operator. (English) Zbl 1387.35142 Commun. Partial Differ. Equations 32, No. 2, 209-228 (2007). MSC: 35J10 35Q40 35Q55 81Q20 81U30 PDFBibTeX XMLCite \textit{D. Salort}, Commun. Partial Differ. Equations 32, No. 2, 209--228 (2007; Zbl 1387.35142) Full Text: DOI
Salort, Delphine Dispersion and Strichartz estimates for the Liouville equation. (English) Zbl 1154.35043 J. Differ. Equations 233, No. 2, 543-584 (2007). Reviewer: Matteo Franca (Ancona) MSC: 35J60 35B45 53C22 PDFBibTeX XMLCite \textit{D. Salort}, J. Differ. Equations 233, No. 2, 543--584 (2007; Zbl 1154.35043) Full Text: DOI
Salort, Delphine Dispersion and Strichartz estimates for the Liouville equation. (English) Zbl 1090.35079 C. R., Math., Acad. Sci. Paris 342, No. 7, 489-492 (2006). MSC: 35J60 35B45 PDFBibTeX XMLCite \textit{D. Salort}, C. R., Math., Acad. Sci. Paris 342, No. 7, 489--492 (2006; Zbl 1090.35079) Full Text: DOI
Salort, Delphine Dispersion and Strichartz inequalities for the 1D Schrödinger equation with variables coefficients. (Dispersion et inégalités de Strichartz pour l’équation de Schrödinger 1D à coefficients variables.) (French) Zbl 1064.35027 C. R., Math., Acad. Sci. Paris 340, No. 6, 427-430 (2005). MSC: 35B45 35Q40 35J10 PDFBibTeX XMLCite \textit{D. Salort}, C. R., Math., Acad. Sci. Paris 340, No. 6, 427--430 (2005; Zbl 1064.35027) Full Text: DOI