Marti, J.-A.; Dévoué, V.; Delcroix, A.; Allaud, E.; Vernaeve, H. On the well-posedness of some generalized characteristic Cauchy problems. (English) Zbl 1398.35285 Math. Model. Nat. Phenom. 11, No. 2, 89-99 (2016). MSC: 35R25 35A01 35A02 35A25 35B30 46F30 PDF BibTeX XML Cite \textit{J. A. Marti} et al., Math. Model. Nat. Phenom. 11, No. 2, 89--99 (2016; Zbl 1398.35285) Full Text: DOI
Marti, Jean-André Generalized and classical solutions to a characteristic Cauchy problem with Hörmander hypotheses. (English) Zbl 1332.35080 Pilipović, Stevan (ed.) et al., Pseudo-differential operators and generalized functions. Selected papers of the 9th ISAAC congress, Cracow, Poland, August 5–9, 2013. Cham: Birkhäuser/Springer (ISBN 978-3-319-14617-1/hbk; 978-3-319-14618-8/ebook). Operator Theory: Advances and Applications 245. Advances in Partial Differential Equations, 217-229 (2015). MSC: 35G10 46F30 46T30 35R05 35A20 PDF BibTeX XML Cite \textit{J.-A. Marti}, Oper. Theory: Adv. Appl. 245, 217--229 (2015; Zbl 1332.35080) Full Text: DOI
Allaud, E.; Dévoué, V.; Delcroix, A.; Marti, J.-A.; Vernaeve, H. Paradigmatic well-posedness in some generalized characteristic Cauchy problems. (English) Zbl 1297.35007 Burenkov, V. I. (ed.) et al., Progress in analysis. Proceedings of the 8th congress of the International Society for Analysis, its Applications, and Computation (ISAAC), Moscow, Russia, August 22–27, 2011. Volume 1. Moscow: Peoples’ Friendship University of Russia (ISBN 978-5-209-04582-3/hbk). 476-489 (2012). MSC: 35A01 35A02 35A25 35D99 46F30 46T30 PDF BibTeX XML Cite \textit{E. Allaud} et al., in: Progress in analysis. Proceedings of the 8th congress of the International Society for Analysis, its Applications, and Computation (ISAAC), Moscow, Russia, August 22--27, 2011. Volume 1. Moscow: Peoples' Friendship University of Russia. 476--489 (2012; Zbl 1297.35007)
Hasler, Maximilian F.; Marti, Jean-André Towards pointvalue characterizations in multi-parameter algebras. (English) Zbl 1299.46040 Novi Sad J. Math. 41, No. 1, 21-31 (2011). MSC: 46F30 46T30 46A19 PDF BibTeX XML Cite \textit{M. F. Hasler} and \textit{J.-A. Marti}, Novi Sad J. Math. 41, No. 1, 21--31 (2011; Zbl 1299.46040)
Delcroix, A.; Dévoué, V.; Marti, J.-A. Well-posed problems in algebras of generalized functions. (English) Zbl 1235.35009 Appl. Anal. 90, No. 11-12, 1747-1761 (2011). Reviewer: Chikh Bouzar (Oran) MSC: 35A01 35A02 35A25 46F30 46T30 PDF BibTeX XML Cite \textit{A. Delcroix} et al., Appl. Anal. 90, No. 11--12, 1747--1761 (2011; Zbl 1235.35009) Full Text: DOI
Dévoué, V.; Hasler, M. F.; Marti, J.-A. Multidimensional asymptotic spectral analysis and applications. (English) Zbl 1238.46035 Appl. Anal. 90, No. 11-12, 1729-1746 (2011). Reviewer: László Simon (Budapest) MSC: 46F30 46T30 35D99 35R05 35A27 PDF BibTeX XML Cite \textit{V. Dévoué} et al., Appl. Anal. 90, No. 11--12, 1729--1746 (2011; Zbl 1238.46035) Full Text: DOI
Marti, Jean-André Sheaf theory and regularity. Application to local and microlocal analysis. (English) Zbl 1195.35017 Kamiński, Andrzej (ed.) et al., Linear and non-linear theory of generalized functions and its applications. Proceedings of the Banach Center conference, Bȩdlewo, Poland, September 2–8, 2007. Warszawa: Polish Academy of Sciences, Institute of Mathematics (ISBN 978-83-86806-07-2/pbk). Banach Center Publications 88, 211-228 (2010). Reviewer: Petar Popivanov (Sofia) MSC: 35A27 35A18 46F30 PDF BibTeX XML Cite \textit{J.-A. Marti}, Banach Cent. Publ. 88, 211--228 (2010; Zbl 1195.35017) Full Text: DOI
Marti, Jean-André Regularity, local and microlocal analysis in theories of generalized functions. (English) Zbl 1196.35027 Acta Appl. Math. 105, No. 3, 267-302 (2009). Reviewer: John Schmeelk (Doha) MSC: 35A27 35B65 35A18 35L60 46F30 PDF BibTeX XML Cite \textit{J.-A. Marti}, Acta Appl. Math. 105, No. 3, 267--302 (2009; Zbl 1196.35027) Full Text: DOI
Delcroix, Antoine; Dévoué, Victor; Marti, Jean-André Generalized solutions of singular differential problems. Relationship with classical solutions. (English) Zbl 1169.35319 J. Math. Anal. Appl. 353, No. 1, 386-402 (2009). MSC: 35G20 46F30 35A20 PDF BibTeX XML Cite \textit{A. Delcroix} et al., J. Math. Anal. Appl. 353, No. 1, 386--402 (2009; Zbl 1169.35319) Full Text: DOI
Delcroix, Antoine; Marti, Jean-André; Oberguggenberger, Michael Spectral asymptotic analysis in algebras of generalized functions. (English) Zbl 1163.35303 Asymptotic Anal. 59, No. 1-2, 83-107 (2008). MSC: 35A27 46F30 35A21 35G20 35C20 PDF BibTeX XML Cite \textit{A. Delcroix} et al., Asymptotic Anal. 59, No. 1--2, 83--107 (2008; Zbl 1163.35303) Full Text: DOI arXiv
Marti, J.-A. \(\mathcal G^L\)-microlocal analysis of generalized functions. (English) Zbl 1105.46028 Integral Transforms Spec. Funct. 17, No. 2-3, 119-125 (2006). MSC: 46F30 46F05 46F10 PDF BibTeX XML Cite \textit{J. A. Marti}, Integral Transforms Spec. Funct. 17, No. 2--3, 119--125 (2006; Zbl 1105.46028) Full Text: DOI
Marti, J.-A. Nonlinear algebraic analysis of delta shock wave solutions to Burgers’ equation. (English) Zbl 1059.35122 Pac. J. Math. 210, No. 1, 165-187 (2003). Reviewer: Alan Jeffrey (Newcastle upon Tyne) MSC: 35Q53 35L60 58J47 76L05 46F99 PDF BibTeX XML Cite \textit{J. A. Marti}, Pac. J. Math. 210, No. 1, 165--187 (2003; Zbl 1059.35122) Full Text: DOI
Marti, J.-A.; Nuiro, S. P. Algebraic investigation of a nonlinear and singular Dirichlet problem. (Analyse algébrique d’un problème de Dirichlet non linéaire et singulier.) (French) Zbl 0959.46028 Topol. Methods Nonlinear Anal. 13, No. 2, 301-311 (1999). Reviewer: J.V.Whittaker (Vancouver) MSC: 46F30 46E25 46E10 47F05 35D05 PDF BibTeX XML Cite \textit{J. A. Marti} and \textit{S. P. Nuiro}, Topol. Methods Nonlinear Anal. 13, No. 2, 301--311 (1999; Zbl 0959.46028) Full Text: DOI
Marti, Jean-André; Nuiro, Silvere Paul; Valmorin, Vincent Differential algebras and the nonlinear Goursat problem with irregular data. (Algèbres différentielles et problème de Goursat non linéaire à données irrégulières.) (French) Zbl 0915.35006 Ann. Fac. Sci. Toulouse, VI. Sér., Math. 7, No. 1, 135-159 (1998). MSC: 35A20 35R05 35A27 46F10 PDF BibTeX XML Cite \textit{J.-A. Marti} et al., Ann. Fac. Sci. Toulouse, Math. (6) 7, No. 1, 135--159 (1998; Zbl 0915.35006) Full Text: DOI Numdam
Marti, J.-A.; Nuiro, S. P.; Valmorin, V. A nonlinear Goursat problem with irregular data. (English) Zbl 0912.35043 Integral Transforms Spec. Funct. 6, No. 1-4, 229-246 (1998). Reviewer: P.Craciunas (Iaşi) MSC: 35D05 46F10 35R25 PDF BibTeX XML Cite \textit{J. A. Marti} et al., Integral Transforms Spec. Funct. 6, No. 1--4, 229--246 (1998; Zbl 0912.35043) Full Text: DOI
Marti, J.-A. Fundamental structures and asymptotic microlocalization in sheaves of generalized functions. (English) Zbl 0902.18005 Integral Transforms Spec. Funct. 6, No. 1-4, 223-228 (1998). MSC: 18F20 54B40 46F99 PDF BibTeX XML Cite \textit{J. A. Marti}, Integral Transforms Spec. Funct. 6, No. 1--4, 223--228 (1998; Zbl 0902.18005) Full Text: DOI
Marti, Jean-André; Nuiro, Silvère Paul Generation of differential algebras and applications. (Génération d’algèbres différentielles et applications.) (French) Zbl 0897.46022 Chavarriga, J. (ed.) et al., Proceedings of the 3rd Catalan days on Applied mathematics. Lleida, Spain, November 27–29, 1996. Lleida: Univ. of Lleida, Department of Mathematics. 139-150 (1996). MSC: 46F05 46J05 46F10 PDF BibTeX XML Cite \textit{J.-A. Marti} and \textit{S. P. Nuiro}, in: Proceedings of the 3rd Catalan days on Applied mathematics. Lleida, Spain, November 27--29, 1996. Lleida: Univ. of Lleida, Department of Mathematics. 139--150 (1996; Zbl 0897.46022)
Marti, Jean-André Remarks on uniqueness sequences and partial analyticity. (Remarques sur les suites d’unicité et l’analyticité partielle.) (French) Zbl 0777.32002 Ann. Fac. Sci. Toulouse, VI. Sér., Math. 1, No. 1, 43-52 (1992). Reviewer: A.Kaneko (Komaba) MSC: 32A22 32A45 30B40 46F99 PDF BibTeX XML Cite \textit{J.-A. Marti}, Ann. Fac. Sci. Toulouse, Math. (6) 1, No. 1, 43--52 (1992; Zbl 0777.32002) Full Text: DOI Numdam EuDML
Marti, Jean-André Analyticité partielle et suites d’unicité. (Partial analyticity and uniqueness sequences). (French) Zbl 0762.32002 C. R. Acad. Sci., Paris, Sér. I 314, No. 11, 789-792 (1992). Reviewer: A.Kaneko (Komaba) MSC: 32A10 32A45 46F15 PDF BibTeX XML Cite \textit{J.-A. Marti}, C. R. Acad. Sci., Paris, Sér. I 314, No. 11, 789--792 (1992; Zbl 0762.32002)
Marti, Jean-Andre Théoremes d’unicité sur les hyperfonctions analytiques par rapport à une des variables. (French) Zbl 0469.46029 C. R. Acad. Sci., Paris, Sér. I 292, 897-900 (1981). MSC: 46F15 32A45 PDF BibTeX XML Cite \textit{J.-A. Marti}, C. R. Acad. Sci., Paris, Sér. I 292, 897--900 (1981; Zbl 0469.46029)
Chou, Chin-Cheng; Marti, Jean-Andre Un théorème d’unicité sur les hyperfonctions régulières par rapport à une des variables. (French) Zbl 0407.46035 C. R. Acad. Sci., Paris, Sér. A 288, 493-495 (1979). MSC: 46F15 47F05 PDF BibTeX XML Cite \textit{C.-C. Chou} and \textit{J.-A. Marti}, C. R. Acad. Sci., Paris, Sér. A 288, 493--495 (1979; Zbl 0407.46035)
Marti, J. A. On some types of completeness in topological vector spaces. (English) Zbl 0212.14002 Pac. J. Math. 35(1970), 707-715 (1971). MSC: 46A50 46A04 PDF BibTeX XML Cite \textit{J. A. Marti}, Pac. J. Math. 35, 707--715 (1971; Zbl 0212.14002) Full Text: DOI