Zhai, Shengyi; Tian, Rongrong Existence and uniqueness of weak solutions for transport equations. (English) Zbl 1513.35468 Electron. J. Math. Anal. Appl. 10, No. 1, 1-14 (2022). MSC: 35Q49 35D30 PDF BibTeX XML Cite \textit{S. Zhai} and \textit{R. Tian}, Electron. J. Math. Anal. Appl. 10, No. 1, 1--14 (2022; Zbl 1513.35468) Full Text: Link
Bianchini, Stefano; Bonicatto, Paolo A uniqueness result for the decomposition of vector fields in \(\mathbb{R}^d\). (English) Zbl 1435.35121 Invent. Math. 220, No. 1, 255-393 (2020). MSC: 35F10 35L03 28A50 35D30 26B35 26B10 26B05 49Q15 58C25 PDF BibTeX XML Cite \textit{S. Bianchini} and \textit{P. Bonicatto}, Invent. Math. 220, No. 1, 255--393 (2020; Zbl 1435.35121) Full Text: DOI
Choudhury, Anupam Pal; Crippa, Gianluca; Spinolo, Laura V. Initial-boundary value problems for nearly incompressible vector fields, and applications to the Keyfitz and Kranzer system. (English) Zbl 1382.35074 Z. Angew. Math. Phys. 68, No. 6, Paper No. 138, 21 p. (2017). MSC: 35F16 35L65 35A01 PDF BibTeX XML Cite \textit{A. P. Choudhury} et al., Z. Angew. Math. Phys. 68, No. 6, Paper No. 138, 21 p. (2017; Zbl 1382.35074) Full Text: DOI arXiv Link
Ambrosio, Luigi Well posedness of ODE’s and continuity equations with nonsmooth vector fields, and applications. (English) Zbl 1380.37039 Rev. Mat. Complut. 30, No. 3, 427-450 (2017). Reviewer: Rolf Dieter Grigorieff (Berlin) MSC: 37C10 35R05 35F05 35A15 34A12 34A36 34G20 34A05 PDF BibTeX XML Cite \textit{L. Ambrosio}, Rev. Mat. Complut. 30, No. 3, 427--450 (2017; Zbl 1380.37039) Full Text: DOI
Andreianov, Boris; Donadello, Carlotta; Ghoshal, Shyam Sundar; Razafison, Ulrich On the attainable set for a class of triangular systems of conservation laws. (English) Zbl 1336.35231 J. Evol. Equ. 15, No. 3, 503-532 (2015). Reviewer: Evgeniy Panov (Novgorod) MSC: 35L65 35R30 47J35 PDF BibTeX XML Cite \textit{B. Andreianov} et al., J. Evol. Equ. 15, No. 3, 503--532 (2015; Zbl 1336.35231) Full Text: DOI HAL
Lu, Yun-guang Existence of global entropy solutions to general system of Keyfitz-Kranzer type. (English) Zbl 1282.35240 J. Funct. Anal. 264, No. 10, 2457-2468 (2013). MSC: 35L65 35D30 PDF BibTeX XML Cite \textit{Y.-g. Lu}, J. Funct. Anal. 264, No. 10, 2457--2468 (2013; Zbl 1282.35240) Full Text: DOI
Ambrosio, Luigi; Crippa, Gianluca; Figalli, Alessio; Spinolo, Laura V. Existence and uniqueness results for the continuity equation and applications to the chromatography system. (English) Zbl 1248.35119 Bressan, Alberto (ed.) et al., Nonlinear conservation laws and applications. Proceedings of the summer program, IMA, Minneapolis, MN, USA, July 13–31, 2009. New York, NY: Springer (ISBN 978-1-4419-9553-7; 978-1-4419-9554-4/ebook). The IMA Volumes in Mathematics and its Applications 153, 195-204 (2011). MSC: 35L65 35F10 PDF BibTeX XML Cite \textit{L. Ambrosio} et al., IMA Vol. Math. Appl. 153, 195--204 (2011; Zbl 1248.35119) Full Text: DOI
Ambrosio, Luigi The flow associated to weakly differentiable vector fields: recent results and open problems. (English) Zbl 1248.35048 Bressan, Alberto (ed.) et al., Nonlinear conservation laws and applications. Proceedings of the summer program, IMA, Minneapolis, MN, USA, July 13–31, 2009. New York, NY: Springer (ISBN 978-1-4419-9553-7; 978-1-4419-9554-4/ebook). The IMA Volumes in Mathematics and its Applications 153, 181-193 (2011). MSC: 35F10 35L65 37C10 PDF BibTeX XML Cite \textit{L. Ambrosio}, IMA Vol. Math. Appl. 153, 181--193 (2011; Zbl 1248.35048) Full Text: DOI
Chen, Gui-Qiang G. Multidimensional conservation laws: overview, problems, and perspective. (English) Zbl 1257.35122 Bressan, Alberto (ed.) et al., Nonlinear conservation laws and applications. Proceedings of the summer program, IMA, Minneapolis, MN, USA, July 13–31, 2009. New York, NY: Springer (ISBN 978-1-4419-9553-7; 978-1-4419-9554-4/ebook). The IMA Volumes in Mathematics and its Applications 153, 23-72 (2011). Reviewer: V. D. Sharma (Mumbai) MSC: 35L65 35L67 35-02 35Q31 34A35 PDF BibTeX XML Cite \textit{G.-Q. G. Chen}, IMA Vol. Math. Appl. 153, 23--72 (2011; Zbl 1257.35122) Full Text: DOI arXiv
Ambrosio, Luigi; Figalli, Alessio On flows associated to Sobolev vector fields in Wiener spaces: An approach à la DiPerna-Lions. (English) Zbl 1156.60036 J. Funct. Anal. 256, No. 1, 179-214 (2009). MSC: 60H10 60H07 PDF BibTeX XML Cite \textit{L. Ambrosio} and \textit{A. Figalli}, J. Funct. Anal. 256, No. 1, 179--214 (2009; Zbl 1156.60036) Full Text: DOI arXiv
Leoni, Giovanni; Morini, Massimiliano Necessary and sufficient conditions for the chain rule in \(W_{\text{loc}}^{1,1} (\mathbb R^N;\mathbb R^d)\) and \(BV_{\text{loc}}(\mathbb R^N;\mathbb R^d)\). (English) Zbl 1135.26011 J. Eur. Math. Soc. (JEMS) 9, No. 2, 219-252 (2007). Reviewer: Tamás Mátrai (Karlsruhe) MSC: 26B05 26B12 26B30 26B40 28A75 46E35 PDF BibTeX XML Cite \textit{G. Leoni} and \textit{M. Morini}, J. Eur. Math. Soc. (JEMS) 9, No. 2, 219--252 (2007; Zbl 1135.26011) Full Text: DOI Link Link
Ambrosio, Luigi; Crippa, Gianluca; Maniglia, Stefania Traces and fine properties of a \(BD\) class of vector fields and applications. (English) Zbl 1091.35007 Ann. Fac. Sci. Toulouse, VI. Sér., Math. 14, No. 4, 527-541 (2005). MSC: 35B05 35F05 PDF BibTeX XML Cite \textit{L. Ambrosio} et al., Ann. Fac. Sci. Toulouse, Math. (6) 14, No. 4, 527--541 (2005; Zbl 1091.35007) Full Text: DOI Numdam EuDML
de Lellis, Camillo Blowup of the BV norm in the multidimensional Keyfitz and Kranzer system. (English) Zbl 1074.35073 Duke Math. J. 127, No. 2, 313-339 (2005). Reviewer: V. D. Sharma (Mumbai) MSC: 35L65 35L45 PDF BibTeX XML Cite \textit{C. de Lellis}, Duke Math. J. 127, No. 2, 313--339 (2005; Zbl 1074.35073) Full Text: DOI
Ambrosio, Luigi Transport equation and Cauchy problem for BV vector fields. (English) Zbl 1075.35087 Invent. Math. 158, No. 2, 227-260 (2004). Reviewer: Fabio Bagagiolo (Trento) MSC: 35Q72 35K15 35L65 PDF BibTeX XML Cite \textit{L. Ambrosio}, Invent. Math. 158, No. 2, 227--260 (2004; Zbl 1075.35087) Full Text: DOI
Ambrosio, Luigi; Bouchut, Frančois; De Lellis, Camillo Well-posedness for a class of hyperbolic systems of conservation laws in several space dimensions. (English) Zbl 1072.35116 Commun. Partial Differ. Equations 29, No. 9-10, 1635-1651 (2004). Reviewer: Chen Shuxing (Shanghai) MSC: 35L65 35L45 PDF BibTeX XML Cite \textit{L. Ambrosio} et al., Commun. Partial Differ. Equations 29, No. 9--10, 1635--1651 (2004; Zbl 1072.35116) Full Text: DOI