Slimani, Meryem; Ouikene, Fethia Asymptotically almost periodic generalized ultradistributions and application. (English) Zbl 07807034 Sahand Commun. Math. Anal. 21, No. 1, 1-29 (2024). MSC: 46F30 46F10 43A60 34K14 PDFBibTeX XMLCite \textit{M. Slimani} and \textit{F. Ouikene}, Sahand Commun. Math. Anal. 21, No. 1, 1--29 (2024; Zbl 07807034) Full Text: DOI
Tiwari, Diksha; Mukhammadiev, Akbarali; Giordano, Paolo Hyper-power series and generalized real analytic functions. (English) Zbl 07802694 Monatsh. Math. 203, No. 2, 475-508 (2024). MSC: 46F30 26E30 PDFBibTeX XMLCite \textit{D. Tiwari} et al., Monatsh. Math. 203, No. 2, 475--508 (2024; Zbl 07802694) Full Text: DOI arXiv OA License
Dias, Nuno Costa; Jorge, Cristina; Prata, João Nuno An existence and uniqueness result about algebras of Schwartz distributions. (English) Zbl 07789017 Monatsh. Math. 203, No. 1, 43-61 (2024). Reviewer: Eduard Nigsch (Wien) MSC: 46F10 46F05 46F30 PDFBibTeX XMLCite \textit{N. C. Dias} et al., Monatsh. Math. 203, No. 1, 43--61 (2024; Zbl 07789017) Full Text: DOI arXiv OA License
Todorov, Todor D. Non-Standard Version of Egorov Algebra of Generalized Functions. arXiv:2403.07206 Preprint, arXiv:2403.07206 [math.FA] (2024). MSC: 46F30 46F05 46F10 46S10 46S20 03H05 03C50 35D05 35D10 35R05 54B40 BibTeX Cite \textit{T. D. Todorov}, ``Non-Standard Version of Egorov Algebra of Generalized Functions'', Preprint, arXiv:2403.07206 [math.FA] (2024) Full Text: DOI arXiv OA License
Taqbibt, Abdellah; Chaib, Mohamed; Melliani, Said Study of nonlinear wave equation with singular data by using generalized fixed point. (English) Zbl 07798124 J. Math. Sci., New York 271, No. 1, Series A, 18-30 (2023). MSC: 35D30 35L15 46F30 PDFBibTeX XMLCite \textit{A. Taqbibt} et al., J. Math. Sci., New York 271, No. 1, 18--30 (2023; Zbl 07798124) Full Text: DOI
Bouzar, Ch.; Slimani, M. Asymptotic almost automorphy for algebras of generalized functions. (English) Zbl 07743969 Vladikavkaz. Mat. Zh. 25, No. 2, 38-55 (2023). MSC: 46F10 43A60 34K14 46F30 PDFBibTeX XMLCite \textit{Ch. Bouzar} and \textit{M. Slimani}, Vladikavkaz. Mat. Zh. 25, No. 2, 38--55 (2023; Zbl 07743969) Full Text: DOI arXiv MNR
El Mfadel, Ali; Melliani, Said; Taqbibt, Abdellah; Elomari, M’hamed Solving the fractional Schrödinger equation with singular initial data in the extended Colombeau algebra of generalized functions. (English) Zbl 1518.35627 Int. J. Differ. Equ. 2023, Article ID 3493912, 10 p. (2023). MSC: 35R11 35Q41 46F30 PDFBibTeX XMLCite \textit{A. El Mfadel} et al., Int. J. Differ. Equ. 2023, Article ID 3493912, 10 p. (2023; Zbl 1518.35627) Full Text: DOI
Bottazzi, Emanuele Corrigendum to: “Grid functions of nonstandard analysis in the theory of distributions and in partial differential equations”. (English) Zbl 1512.46029 Adv. Math. 427, Article ID 109133, 2 p. (2023). MSC: 46F30 46S20 26E35 03H05 PDFBibTeX XMLCite \textit{E. Bottazzi}, Adv. Math. 427, Article ID 109133, 2 p. (2023; Zbl 1512.46029) Full Text: DOI
Pilipović, Stevan; Scarpalézos, Dimitris; Vindas, Jasson Besov regularity in non-linear generalized functions. (English) Zbl 1523.46036 Monatsh. Math. 201, No. 2, 483-498 (2023). Reviewer: Nenad Teofanov (Novi Sad) MSC: 46F30 46E35 PDFBibTeX XMLCite \textit{S. Pilipović} et al., Monatsh. Math. 201, No. 2, 483--498 (2023; Zbl 1523.46036) Full Text: DOI arXiv
Dugandžija, Nevena; Vojnović, Ivana Singular solution of the Hartree equation with a delta potential. (English) Zbl 1512.35531 Monatsh. Math. 200, No. 4, 799-818 (2023). MSC: 35Q55 35Q40 46F30 35B65 35A01 35A02 35R11 PDFBibTeX XMLCite \textit{N. Dugandžija} and \textit{I. Vojnović}, Monatsh. Math. 200, No. 4, 799--818 (2023; Zbl 1512.35531) Full Text: DOI
Sämann, Clemens; Schinnerl, Benedict; Steinbauer, Roland; Švarc, Robert Cut-and-paste for impulsive gravitational waves with \(\Lambda\): The mathematical analysis. arXiv:2312.01980 Preprint, arXiv:2312.01980 [gr-qc] (2023). MSC: 83C15 83C35 46F30 46F10 83C10 34A36 BibTeX Cite \textit{C. Sämann} et al., ``Cut-and-paste for impulsive gravitational waves with $\Lambda$: The mathematical analysis'', Preprint, arXiv:2312.01980 [gr-qc] (2023) Full Text: arXiv OA License
Hritonenko, Natali; Kato, Nobuyuki; Yatsenko, Yuri Dirac delta-function in optimal control of age-structured populations. (English) Zbl 07819128 Cerejeiras, Paula (ed.) et al., Current trends in analysis, its applications and computation. Proceedings of the 12th ISAAC congress, Aveiro, Portugal, July 29 – August 3, 2019. Cham: Birkhäuser. Trends Math., 381-389 (2022). MSC: 92D25 46F30 PDFBibTeX XMLCite \textit{N. Hritonenko} et al., in: Current trends in analysis, its applications and computation. Proceedings of the 12th ISAAC congress, Aveiro, Portugal, July 29 -- August 3, 2019. Cham: Birkhäuser. 381--389 (2022; Zbl 07819128) Full Text: DOI
Hasler, Maximilian F. Singular solutions to equations of fluid mechanics and dynamics near a Hurricane’s eye. (English) Zbl 07819127 Cerejeiras, Paula (ed.) et al., Current trends in analysis, its applications and computation. Proceedings of the 12th ISAAC congress, Aveiro, Portugal, July 29 – August 3, 2019. Cham: Birkhäuser. Trends Math., 373-380 (2022). MSC: 46F30 35A20 35Q30 86A10 PDFBibTeX XMLCite \textit{M. F. Hasler}, in: Current trends in analysis, its applications and computation. Proceedings of the 12th ISAAC congress, Aveiro, Portugal, July 29 -- August 3, 2019. Cham: Birkhäuser. 373--380 (2022; Zbl 07819127) Full Text: DOI
Bouzar, Chikh On almost periodicity and almost automorphy. (English) Zbl 07819124 Cerejeiras, Paula (ed.) et al., Current trends in analysis, its applications and computation. Proceedings of the 12th ISAAC congress, Aveiro, Portugal, July 29 – August 3, 2019. Cham: Birkhäuser. Trends Math., 347-355 (2022). MSC: 42A75 43A60 46F05 46F30 PDFBibTeX XMLCite \textit{C. Bouzar}, in: Current trends in analysis, its applications and computation. Proceedings of the 12th ISAAC congress, Aveiro, Portugal, July 29 -- August 3, 2019. Cham: Birkhäuser. 347--355 (2022; Zbl 07819124) Full Text: DOI
Galli, Vanesa; Molina, Sandra; Quintero, Alejandro Liouville theorems for the multidimensional fractional Bessel operators. (English) Zbl 07741589 Commun. Korean Math. Soc. 37, No. 4, 1099-1129 (2022). MSC: 47A60 46F10 46F12 46F30 PDFBibTeX XMLCite \textit{V. Galli} et al., Commun. Korean Math. Soc. 37, No. 4, 1099--1129 (2022; Zbl 07741589) Full Text: DOI
Ghorab, Elhouari; Benmeriem, Khaled Generalized Roumieu tempered ultradistributions. (English) Zbl 07731213 Poincare J. Anal. Appl. 9, No. 2, 213-227 (2022). MSC: 46F05 46F30 PDFBibTeX XMLCite \textit{E. Ghorab} and \textit{K. Benmeriem}, Poincare J. Anal. Appl. 9, No. 2, 213--227 (2022; Zbl 07731213) Full Text: Link
Agbebaku, Dennis Ferdinand; van der Walt, Jan Harm Differential chain of algebras of generalized functions. (English) Zbl 07712089 Novi Sad J. Math. 52, No. 1, 39-77 (2022). Reviewer: Michael Kunzinger (Wien) MSC: 46F30 35D99 PDFBibTeX XMLCite \textit{D. F. Agbebaku} and \textit{J. H. van der Walt}, Novi Sad J. Math. 52, No. 1, 39--77 (2022; Zbl 07712089) Full Text: DOI
Azanzal, Achraf; Allalou, Chakir; Melliani, Said Well-posedness, analyticity and time decay of the 3D fractional magneto-hydrodynamics equations in critical Fourier-Besov-Morrey spaces with variable exponent. (English) Zbl 1500.35221 J. Elliptic Parabol. Equ. 8, No. 2, 723-742 (2022). MSC: 35Q30 35S30 42B25 42B37 46F30 49N60 76W05 76D05 35A01 35A02 26A33 35R11 35Q35 PDFBibTeX XMLCite \textit{A. Azanzal} et al., J. Elliptic Parabol. Equ. 8, No. 2, 723--742 (2022; Zbl 1500.35221) Full Text: DOI
Çapar, Uluğ Imbedding of infinite dimensional distributions into simplified Colombeau type algebras. (English) Zbl 1514.46032 Monatsh. Math. 199, No. 4, 755-770 (2022). Reviewer: Michael Kunzinger (Wien) MSC: 46F30 46F25 46T12 60H40 PDFBibTeX XMLCite \textit{U. Çapar}, Monatsh. Math. 199, No. 4, 755--770 (2022; Zbl 1514.46032) Full Text: DOI
Garcia, A. R. G.; Juriaans, S. O.; Oliveira, J.; Rodrigues, W. M. A nonlinear theory of generalized functions. (English) Zbl 1506.46036 São Paulo J. Math. Sci. 16, No. 1, 396-405 (2022). MSC: 46F30 46F20 PDFBibTeX XMLCite \textit{A. R. G. Garcia} et al., São Paulo J. Math. Sci. 16, No. 1, 396--405 (2022; Zbl 1506.46036) Full Text: DOI
Blommaert, Robin; Lazendić, Srdan; Oparnica, Ljubica The Euler-Bernoulli equation with distributional coefficients and forces. (English) Zbl 1524.35127 Comput. Math. Appl. 123, 171-183 (2022). MSC: 35D30 35L15 74K10 35L05 46F30 PDFBibTeX XMLCite \textit{R. Blommaert} et al., Comput. Math. Appl. 123, 171--183 (2022; Zbl 1524.35127) Full Text: DOI arXiv
Malekpour, Abdolhamid; Shabibi, Mehdi; Nouraee, Raheleh Existence of a solution for a multi singular pointwise defined fractional differential system. (English) Zbl 1486.34032 J. Math. Ext. 16, No. 4, Paper No. 6, 36 p. (2022). MSC: 34A08 37C25 46F30 PDFBibTeX XMLCite \textit{A. Malekpour} et al., J. Math. Ext. 16, No. 4, Paper No. 6, 36 p. (2022; Zbl 1486.34032) Full Text: DOI
Benmerrous, Abdelmjid; Chadli, Lalla saadia; Moujahid, Abdelaziz; Elomari, M’hamed; Melliani, Said Generalized cosine family. (English) Zbl 1498.46051 J. Elliptic Parabol. Equ. 8, No. 1, 367-381 (2022). MSC: 46F30 35L99 47D09 35D99 35A27 PDFBibTeX XMLCite \textit{A. Benmerrous} et al., J. Elliptic Parabol. Equ. 8, No. 1, 367--381 (2022; Zbl 1498.46051) Full Text: DOI
Rodrigues, W.; Garcia, A. R. G.; Juriaans, S. O.; Silva, J. C. Off-diagonal condition. (English) Zbl 1500.46035 Monatsh. Math. 198, No. 2, 465-482 (2022). Reviewer: Michael Kunzinger (Wien) MSC: 46F30 46T20 PDFBibTeX XMLCite \textit{W. Rodrigues} et al., Monatsh. Math. 198, No. 2, 465--482 (2022; Zbl 1500.46035) Full Text: DOI
Japundžić, Miloš; Rajter-Ćirić, Danijela A nonlinear stochastic heat equation with variable thermal conductivity and multiplicative noise. (English) Zbl 1492.60187 J. Pseudo-Differ. Oper. Appl. 13, No. 2, Paper No. 23, 16 p. (2022). MSC: 60H15 35R11 46F10 46F30 PDFBibTeX XMLCite \textit{M. Japundžić} and \textit{D. Rajter-Ćirić}, J. Pseudo-Differ. Oper. Appl. 13, No. 2, Paper No. 23, 16 p. (2022; Zbl 1492.60187) Full Text: DOI
Jost, Jürgen; Mulas, Raffaella; Zhang, Dong \(p\)-Laplace operators for oriented hypergraphs. (English) Zbl 1487.05163 Vietnam J. Math. 50, No. 2, 323-358 (2022). MSC: 05C50 05C65 47J10 47H04 47H05 46F30 35P30 PDFBibTeX XMLCite \textit{J. Jost} et al., Vietnam J. Math. 50, No. 2, 323--358 (2022; Zbl 1487.05163) Full Text: DOI arXiv
Tiwari, Diksha; Giordano, Paolo Hyperseries in the non-Archimedean ring of Colombeau generalized numbers. (English) Zbl 1508.46032 Monatsh. Math. 197, No. 1, 193-223 (2022). MSC: 46F30 26E30 PDFBibTeX XMLCite \textit{D. Tiwari} and \textit{P. Giordano}, Monatsh. Math. 197, No. 1, 193--223 (2022; Zbl 1508.46032) Full Text: DOI arXiv
Frederico, Gastão S. F.; Giordano, Paolo; Bryzgalov, Alexandr A.; Lazo, Matheus J. Calculus of variations and optimal control for generalized functions. (English) Zbl 1483.49024 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 216, Article ID 112718, 46 p. (2022). Reviewer: Antonio Roberto da Silva (Rio de Janeiro) MSC: 49K15 46F30 PDFBibTeX XMLCite \textit{G. S. F. Frederico} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 216, Article ID 112718, 46 p. (2022; Zbl 1483.49024) Full Text: DOI arXiv
Hörmann, Günther; Oparnica, Ljubica; Spreitzer, Christian Modeling aspects of Schrödinger equation diffraction with regularized potentials and initial values. arXiv:2212.08497 Preprint, arXiv:2212.08497 [math-ph] (2022). MSC: 81Q05 35P25 46F30 BibTeX Cite \textit{G. Hörmann} et al., ``Modeling aspects of Schr\"odinger equation diffraction with regularized potentials and initial values'', Preprint, arXiv:2212.08497 [math-ph] (2022) Full Text: arXiv OA License
Juriaans, S. O.; Oliveira, J. Fixed Point Theorems for Hypersequences and the Foundation of Generalized Differential Geometry I: The Simplified Algebra. arXiv:2205.00114 Preprint, arXiv:2205.00114 [math.AP] (2022). MSC: 46F30 46T20 BibTeX Cite \textit{S. O. Juriaans} and \textit{J. Oliveira}, ``Fixed Point Theorems for Hypersequences and the Foundation of Generalized Differential Geometry I: The Simplified Algebra'', Preprint, arXiv:2205.00114 [math.AP] (2022) Full Text: DOI arXiv OA License
Dévoué, Victor Solving a hyperbolic equation in the first canonical form. (English) Zbl 1484.35147 Novi Sad J. Math. 51, No. 1, 133-161 (2021). MSC: 35D30 35L15 35L70 46F30 PDFBibTeX XMLCite \textit{V. Dévoué}, Novi Sad J. Math. 51, No. 1, 133--161 (2021; Zbl 1484.35147) Full Text: DOI
Suzuki, Toshio The construction of \(p\)-adic Stockwell transform and its spectra. (English) Zbl 1490.46073 \(p\)-Adic Numbers Ultrametric Anal. Appl. 13, No. 2, 166-173 (2021). MSC: 46S10 46F05 46F30 42C40 35S05 PDFBibTeX XMLCite \textit{T. Suzuki}, \(p\)-Adic Numbers Ultrametric Anal. Appl. 13, No. 2, 166--173 (2021; Zbl 1490.46073) Full Text: DOI
Bottazzi, Emanuele Describing limits of integrable functions as grid functions of nonstandard analysis. (English) Zbl 1490.46042 SN Partial Differ. Equ. Appl. 2, No. 4, Paper No. 51, 25 p. (2021). MSC: 46F30 46S20 47J06 35K55 PDFBibTeX XMLCite \textit{E. Bottazzi}, SN Partial Differ. Equ. Appl. 2, No. 4, Paper No. 51, 25 p. (2021; Zbl 1490.46042) Full Text: DOI arXiv
Goufo, Emile Franc Doungmo Bounded perturbation for evolution equations with a parameter & application to population dynamics. (English) Zbl 1475.34039 Discrete Contin. Dyn. Syst., Ser. S 14, No. 7, 2137-2150 (2021). MSC: 34D10 92D25 34A08 46F30 PDFBibTeX XMLCite \textit{E. F. D. Goufo}, Discrete Contin. Dyn. Syst., Ser. S 14, No. 7, 2137--2150 (2021; Zbl 1475.34039) Full Text: DOI
Mansouri, Ali; Shabibi, Mehdi The investigation of a solution existence for a bi-dealing singular fractional intergro-differential equation. (English) Zbl 1473.34004 J. Math. Ext. 15, No. 1, 215-269 (2021). MSC: 34A08 37C25 46F30 PDFBibTeX XMLCite \textit{A. Mansouri} and \textit{M. Shabibi}, J. Math. Ext. 15, No. 1, 215--269 (2021; Zbl 1473.34004) Full Text: Link
Khalladi, Mohammed Taha; Kostić, Marko; Rahmani, Abdelkader; Velinov, Daniel \((w,c)\)-almost periodic generalized functions. (English) Zbl 1488.46080 Sarajevo J. Math. 17(30), No. 1, 93-108 (2021). MSC: 46F30 46F05 42A75 PDFBibTeX XMLCite \textit{M. T. Khalladi} et al., Sarajevo J. Math. 17(30), No. 1, 93--108 (2021; Zbl 1488.46080)
Mukhammadiev, A.; Tiwari, D.; Apaaboah, G.; Giordano, P. Supremum, infimum and hyperlimits in the non-Archimedean ring of Colombeau generalized numbers. (English) Zbl 1483.46042 Monatsh. Math. 196, No. 1, 163-190 (2021). Reviewer: Michael Kunzinger (Wien) MSC: 46F30 26E30 PDFBibTeX XMLCite \textit{A. Mukhammadiev} et al., Monatsh. Math. 196, No. 1, 163--190 (2021; Zbl 1483.46042) Full Text: DOI arXiv
Adimurthi, Karthik; Byun, Sun-Sig; Park, Jung-Tae End point gradient estimates for quasilinear parabolic equations with variable exponent growth on nonsmooth domains. (English) Zbl 1475.35082 Calc. Var. Partial Differ. Equ. 60, No. 4, Paper No. 145, 67 p. (2021). Reviewer: Lubomira Softova (Salerno) MSC: 35B45 35K59 35B65 35R05 46F30 35K92 PDFBibTeX XMLCite \textit{K. Adimurthi} et al., Calc. Var. Partial Differ. Equ. 60, No. 4, Paper No. 145, 67 p. (2021; Zbl 1475.35082) Full Text: DOI arXiv
Velanga, T. Multilinear mappings versus homogeneous polynomials and a multipolynomial polarization formula. (English) Zbl 07379852 Linear Multilinear Algebra 69, No. 9, 1625-1634 (2021). MSC: 47H60 47L22 46G25 46F30 05E05 PDFBibTeX XMLCite \textit{T. Velanga}, Linear Multilinear Algebra 69, No. 9, 1625--1634 (2021; Zbl 07379852) Full Text: DOI arXiv
Bouzar, Chikh; Ouikene, Fethia Almost periodic generalized solutions of differential equations. (English) Zbl 1513.34165 Math. Bohem. 146, No. 2, 121-131 (2021). Reviewer: Khalil Ezzinbi (Marrakech) MSC: 34C27 46F30 34A30 PDFBibTeX XMLCite \textit{C. Bouzar} and \textit{F. Ouikene}, Math. Bohem. 146, No. 2, 121--131 (2021; Zbl 1513.34165) Full Text: DOI
Todorov, Todor D. Infinite-dimensional linear algebra and solvability of partial differential equations. (English) Zbl 1465.35109 J. Log. Anal. 13, Paper No. 5, 34 p. (2021). MSC: 35D35 35E20 35J15 46F05 46F10 47F05 46S20 46F30 PDFBibTeX XMLCite \textit{T. D. Todorov}, J. Log. Anal. 13, Paper No. 5, 34 p. (2021; Zbl 1465.35109) Full Text: DOI arXiv
Velanga, T. Lower bounds for the constants in the real multipolynomial Bohnenblust-Hille inequality. (English) Zbl 1522.47082 Rend. Circ. Mat. Palermo (2) 70, No. 1, 247-251 (2021). MSC: 47H60 47J99 46G25 46F30 PDFBibTeX XMLCite \textit{T. Velanga}, Rend. Circ. Mat. Palermo (2) 70, No. 1, 247--251 (2021; Zbl 1522.47082) Full Text: DOI
Oberguggenberger, Michael Anomalous solutions to nonlinear hyperbolic equations. (English) Zbl 1461.35155 Cicognani, Massimo (ed.) et al., Anomalies in partial differential equations. Based on talks given at the INDAM workshop, University of Rome “La Sapienza”, Rome, Italy, September 9–13, 2019. Cham: Springer. Springer INdAM Ser. 43, 347-367 (2021). MSC: 35L71 35A21 46F30 PDFBibTeX XMLCite \textit{M. Oberguggenberger}, Springer INdAM Ser. 43, 347--367 (2021; Zbl 1461.35155) Full Text: DOI arXiv
Khelif, A.; Scarpalezos, D. Maximal closed ideals of the Colombeau algebra of generalized functions. (English) Zbl 1476.54013 Monatsh. Math. 194, No. 1, 119-150 (2021). Reviewer: Isabel Garrido (Madrid) MSC: 54C40 46F30 46E10 46E25 PDFBibTeX XMLCite \textit{A. Khelif} and \textit{D. Scarpalezos}, Monatsh. Math. 194, No. 1, 119--150 (2021; Zbl 1476.54013) Full Text: DOI
Deguchi, Hideo; Oberguggenberger, Michael Regular generalized solutions to semilinear wave equations. (English) Zbl 1456.35078 Monatsh. Math. 194, No. 1, 67-84 (2021). MSC: 35D30 46F30 35L71 PDFBibTeX XMLCite \textit{H. Deguchi} and \textit{M. Oberguggenberger}, Monatsh. Math. 194, No. 1, 67--84 (2021; Zbl 1456.35078) Full Text: DOI arXiv
Bottazzi, Emanuele A grid function formulation of a class of ill-posed parabolic equations. (English) Zbl 1462.35454 J. Differ. Equations 271, 39-75 (2021). MSC: 35R25 35K20 35K59 35K65 47J06 46F30 PDFBibTeX XMLCite \textit{E. Bottazzi}, J. Differ. Equations 271, 39--75 (2021; Zbl 1462.35454) Full Text: DOI arXiv
Pražák, Dalibor; Průša, Vít; Tůma, Karel A note on parametric resonance induced by a singular parameter modulation. arXiv:2108.12218 Preprint, arXiv:2108.12218 [math.DS] (2021). MSC: 70J40 46F30 BibTeX Cite \textit{D. Pražák} et al., ``A note on parametric resonance induced by a singular parameter modulation'', Preprint, arXiv:2108.12218 [math.DS] (2021) Full Text: DOI arXiv OA License
Giordano, Paolo; Kunzinger, Michael; Vernaeve, Hans A Grothendieck topos of generalized functions I: basic theory. arXiv:2101.04492 Preprint, arXiv:2101.04492 [math.FA] (2021). MSC: 46-XX 46Fxx 30Gxx 46Txx 46F30 26E30 58A03 BibTeX Cite \textit{P. Giordano} et al., ``A Grothendieck topos of generalized functions I: basic theory'', Preprint, arXiv:2101.04492 [math.FA] (2021) Full Text: arXiv OA License
Nigsch, E. A.; Vickers, J. A. A nonlinear theory of distributional geometry. (English) Zbl 1486.46048 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 476, No. 2244, Article ID 20200642, 20 p. (2020). MSC: 46F30 46T30 58A05 PDFBibTeX XMLCite \textit{E. A. Nigsch} and \textit{J. A. Vickers}, Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 476, No. 2244, Article ID 20200642, 20 p. (2020; Zbl 1486.46048) Full Text: DOI arXiv Link
Nigsch, E. A.; Vickers, J. A. Nonlinear generalized functions on manifolds. (English) Zbl 1490.46043 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 476, No. 2244, Article ID 20200640, 21 p. (2020). Reviewer: Michael Kunzinger (Wien) MSC: 46F30 46T30 58C20 PDFBibTeX XMLCite \textit{E. A. Nigsch} and \textit{J. A. Vickers}, Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 476, No. 2244, Article ID 20200640, 21 p. (2020; Zbl 1490.46043) Full Text: DOI arXiv Link
Japundžić, Miloš; Rajter-Ćirić, Danijela Fractional nonlinear stochastic heat equation with variable thermal conductivity. (English) Zbl 1474.60162 Fract. Calc. Appl. Anal. 23, No. 6, 1762-1782 (2020). MSC: 60H15 35R11 46F30 60G22 PDFBibTeX XMLCite \textit{M. Japundžić} and \textit{D. Rajter-Ćirić}, Fract. Calc. Appl. Anal. 23, No. 6, 1762--1782 (2020; Zbl 1474.60162) Full Text: DOI
Deguchi, Hideo; Oberguggenberger, Michael Propagation of singularities for generalized solutions to nonlinear wave equations. (English) Zbl 1446.35008 J. Fixed Point Theory Appl. 22, No. 3, Paper No. 67, 17 p. (2020). MSC: 35A21 46F30 47H10 35L71 PDFBibTeX XMLCite \textit{H. Deguchi} and \textit{M. Oberguggenberger}, J. Fixed Point Theory Appl. 22, No. 3, Paper No. 67, 17 p. (2020; Zbl 1446.35008) Full Text: DOI arXiv
Khurshudyan, Asatur Zh. An identity for the Heaviside function and its application in representation of nonlinear Green’s function. (English) Zbl 1438.46049 Comput. Appl. Math. 39, No. 1, Paper No. 32, 12 p. (2020). MSC: 46F30 46F10 46T30 34A05 34A34 PDFBibTeX XMLCite \textit{A. Zh. Khurshudyan}, Comput. Appl. Math. 39, No. 1, Paper No. 32, 12 p. (2020; Zbl 1438.46049) Full Text: DOI
Galli, Vanesa; Molina, Sandra; Quintero, Alejandro \(n\)-dimensional Fractional Bessel Operators and Liouville theorems. arXiv:2003.05727 Preprint, arXiv:2003.05727 [math.FA] (2020). MSC: 47A60 46F10 46F12 46F30 BibTeX Cite \textit{V. Galli} et al., ``$n$-dimensional Fractional Bessel Operators and Liouville theorems'', Preprint, arXiv:2003.05727 [math.FA] (2020) Full Text: arXiv OA License
Bouzar, Chikh; Ouikene, Fethia Almost periodic generalized ultradistributions. (English) Zbl 1499.46084 Filomat 33, No. 17, 5407-5425 (2019). MSC: 46F30 46F10 42A75 PDFBibTeX XMLCite \textit{C. Bouzar} and \textit{F. Ouikene}, Filomat 33, No. 17, 5407--5425 (2019; Zbl 1499.46084) Full Text: DOI
Bourada, Sofiane; Messirdi, Bekkai; Belaib, Lekhmissi On a coherent multiplications of distributions. (English) Zbl 1499.46079 Rom. J. Math. Comput. Sci. 9, No. 1, 15-23 (2019). MSC: 46F10 46F30 PDFBibTeX XMLCite \textit{S. Bourada} et al., Rom. J. Math. Comput. Sci. 9, No. 1, 15--23 (2019; Zbl 1499.46079)
Debrouwere, Andreas; Vernaeve, Hans; Vindas, Jasson A nonlinear theory of infrahyperfunctions. (English) Zbl 1486.46046 Kyoto J. Math. 59, No. 4, 869-895 (2019). Reviewer: Eduard Nigsch (Wien) MSC: 46F30 46F15 PDFBibTeX XMLCite \textit{A. Debrouwere} et al., Kyoto J. Math. 59, No. 4, 869--895 (2019; Zbl 1486.46046) Full Text: DOI arXiv Euclid Link
Wang, Weihua Global well-posedness and analyticity for the 3D fractional magnetohydrodynamics equations in variable Fourier-Besov spaces. (English) Zbl 1429.42028 Z. Angew. Math. Phys. 70, No. 6, Paper No. 163, 16 p. (2019). MSC: 42B37 76W05 46F30 35S30 49N60 46E35 PDFBibTeX XMLCite \textit{W. Wang}, Z. Angew. Math. Phys. 70, No. 6, Paper No. 163, 16 p. (2019; Zbl 1429.42028) Full Text: DOI
Dugandžija, Nevena; Nedeljkov, Marko Generalized solution to multidimensional cubic Schrödinger equation with delta potential. (English) Zbl 1428.35504 Monatsh. Math. 190, No. 3, 481-499 (2019). MSC: 35Q55 46F30 PDFBibTeX XMLCite \textit{N. Dugandžija} and \textit{M. Nedeljkov}, Monatsh. Math. 190, No. 3, 481--499 (2019; Zbl 1428.35504) Full Text: DOI
Nigsch, Eduard A. On association in Colombeau algebras without asymptotics. (English) Zbl 1462.46050 Lindahl, Karl-Olof (ed.) et al., Analysis, probability, applications, and computation. Proceedings of the 11th ISAAC congress, Växjö, Sweden, August 14–18, 2017. Cham: Birkhäuser. Trends Math., 437-443 (2019). MSC: 46F30 PDFBibTeX XMLCite \textit{E. A. Nigsch}, in: Analysis, probability, applications, and computation. Proceedings of the 11th ISAAC congress, Växjö, Sweden, August 14--18, 2017. Cham: Birkhäuser. 437--443 (2019; Zbl 1462.46050) Full Text: DOI arXiv
Melliani, S.; Chadli, L. S.; Moujahid, A.; Tbattou, Y. J. F. Colombeau algebra and application. (English) Zbl 1486.46047 Electron. J. Math. Anal. Appl. 7, No. 3, 9-16 (2019). Reviewer: Eduard Nigsch (Wien) MSC: 46F30 35K15 35A30 47D06 PDFBibTeX XMLCite \textit{S. Melliani} et al., Electron. J. Math. Anal. Appl. 7, No. 3, 9--16 (2019; Zbl 1486.46047) Full Text: Link
Valmorin, V. Multiplication of periodic hyperfunctions via harmonic regularization and applications. (English) Zbl 1422.32014 Kyoto J. Math. 59, No. 2, 267-292 (2019). MSC: 32A45 35L05 42A16 46F30 PDFBibTeX XMLCite \textit{V. Valmorin}, Kyoto J. Math. 59, No. 2, 267--292 (2019; Zbl 1422.32014) Full Text: DOI Euclid
Oltean, Marius; Sopuerta, Carlos F.; Spallicci, Alessandro D. A. M. Particle-without-particle: a practical pseudospectral collocation method for linear partial differential equations with distributional sources. (English) Zbl 1423.83012 J. Sci. Comput. 79, No. 2, 827-866 (2019). MSC: 83C10 65N35 83C75 46F30 35G05 PDFBibTeX XMLCite \textit{M. Oltean} et al., J. Sci. Comput. 79, No. 2, 827--866 (2019; Zbl 1423.83012) Full Text: DOI arXiv
Benci, Vieri; Berselli, Luigi Carlo; Grisanti, Carlo Romano The Caccioppoli ultrafunctions. (English) Zbl 1434.46024 Adv. Nonlinear Anal. 8, 946-978 (2019). Reviewer: Enno Nagel (Paris) MSC: 46F30 46S20 03H05 PDFBibTeX XMLCite \textit{V. Benci} et al., Adv. Nonlinear Anal. 8, 946--978 (2019; Zbl 1434.46024) Full Text: DOI arXiv Link
Lecke, Alexander; Luperi Baglini, Lorenzo; Giordano, Paolo The classical theory of calculus of variations for generalized functions. (English) Zbl 1448.49008 Adv. Nonlinear Anal. 8, 779-808 (2019). Reviewer: Themistocles M. Rassias (Athína) MSC: 49J21 46F30 53B20 PDFBibTeX XMLCite \textit{A. Lecke} et al., Adv. Nonlinear Anal. 8, 779--808 (2019; Zbl 1448.49008) Full Text: DOI arXiv
Nigsch, Eduard A. Colombeau algebras without asymptotics. (English) Zbl 1462.46049 J. Pseudo-Differ. Oper. Appl. 10, No. 1, 133-154 (2019). MSC: 46F30 46F05 PDFBibTeX XMLCite \textit{E. A. Nigsch}, J. Pseudo-Differ. Oper. Appl. 10, No. 1, 133--154 (2019; Zbl 1462.46049) Full Text: DOI arXiv
Bottazzi, Emanuele Grid functions of nonstandard analysis in the theory of distributions and in partial differential equations. (English) Zbl 1423.46056 Adv. Math. 345, 429-482 (2019); corrigendum ibid. 427, Article ID 109133, 2 p. (2023). Reviewer: Eduard Nigsch (Wien) MSC: 46F30 46S20 26E35 03H05 PDFBibTeX XMLCite \textit{E. Bottazzi}, Adv. Math. 345, 429--482 (2019; Zbl 1423.46056) Full Text: DOI arXiv
Grosser, M.; Nigsch, E. A. Full and special Colombeau algebras. (English) Zbl 1430.46034 Proc. Edinb. Math. Soc., II. Ser. 61, No. 4, 961-994 (2018). Reviewer: Denis Sidorov (Irkutsk) MSC: 46F30 PDFBibTeX XMLCite \textit{M. Grosser} and \textit{E. A. Nigsch}, Proc. Edinb. Math. Soc., II. Ser. 61, No. 4, 961--994 (2018; Zbl 1430.46034) Full Text: DOI arXiv
Molina, Sandra Mónica Distributional fractional powers of similar operators with applications to the Bessel operators. (English) Zbl 07084535 Commun. Korean Math. Soc. 33, No. 4, 1249-1269 (2018). MSC: 47A60 26A33 46F10 46F12 46F30 PDFBibTeX XMLCite \textit{S. M. Molina}, Commun. Korean Math. Soc. 33, No. 4, 1249--1269 (2018; Zbl 07084535) Full Text: DOI arXiv
Antonevich, A. B.; Shahava, T. G.; Shkadinskaia, E. V. Algebra of mnemofunctions on a circle. (Russian. English summary) Zbl 1416.46045 Probl. Fiz. Mat. Tekh. 2018, No. 3(36), 55-62 (2018). Reviewer: Denis Sidorov (Irkutsk) MSC: 46F30 PDFBibTeX XMLCite \textit{A. B. Antonevich} et al., Probl. Fiz. Mat. Tekh. 2018, No. 3(36), 55--62 (2018; Zbl 1416.46045) Full Text: MNR
Hörmann, Günther Limits of regularizations for generalized function solutions to the Schrödinger equation with ‘square root of delta’ initial value. (English) Zbl 1420.46035 J. Fourier Anal. Appl. 24, No. 4, 1160-1179 (2018). Reviewer: Chikh Bouzar (Oran) MSC: 46F30 35Q41 PDFBibTeX XMLCite \textit{G. Hörmann}, J. Fourier Anal. Appl. 24, No. 4, 1160--1179 (2018; Zbl 1420.46035) Full Text: DOI arXiv
Antonevich, A. B.; Shagova, T. G. The embeddings of distributions into the algebra of mnemofunctions on circle. (Russian. English summary) Zbl 1416.46044 Probl. Fiz. Mat. Tekh. 2018, No. 4(37), 52-61 (2018). Reviewer: Denis Sidorov (Irkutsk) MSC: 46F30 PDFBibTeX XMLCite \textit{A. B. Antonevich} and \textit{T. G. Shagova}, Probl. Fiz. Mat. Tekh. 2018, No. 4(37), 52--61 (2018; Zbl 1416.46044) Full Text: MNR
Jarad, Fahd; Adjabi, Yassine; Baleanu, Dumitru; Abdeljawad, Thabet On defining the distributions \(\delta^{r}\) and \((\delta')^{r}\) by conformable derivatives. (English) Zbl 1448.26008 Adv. Difference Equ. 2018, Paper No. 407, 20 p. (2018). MSC: 26A24 44A15 46F10 46F30 46T30 58C05 PDFBibTeX XMLCite \textit{F. Jarad} et al., Adv. Difference Equ. 2018, Paper No. 407, 20 p. (2018; Zbl 1448.26008) Full Text: DOI
Ruzhansky, M. V.; Tokmagambetov, N. E. On a very weak solution of the wave equation for a Hamiltonian in a singular electromagnetic field. (English. Russian original) Zbl 1400.35174 Math. Notes 103, No. 5, 856-858 (2018); translation from Mat. Zametki 103, No. 5, 790-793 (2018). MSC: 35L15 35Q60 46F30 35D30 PDFBibTeX XMLCite \textit{M. V. Ruzhansky} and \textit{N. E. Tokmagambetov}, Math. Notes 103, No. 5, 856--858 (2018; Zbl 1400.35174); translation from Mat. Zametki 103, No. 5, 790--793 (2018) Full Text: DOI
Gordić, Snežana; Oberguggenberger, Michael; Pilipović, Stevan; Seleši, Dora Probabilistic properties of generalized stochastic processes in algebras of generalized functions. (English) Zbl 1429.60042 Monatsh. Math. 186, No. 4, 609-633 (2018). MSC: 60G20 60G15 60E10 46F30 46S10 35A27 PDFBibTeX XMLCite \textit{S. Gordić} et al., Monatsh. Math. 186, No. 4, 609--633 (2018; Zbl 1429.60042) Full Text: DOI
Balasin, Herbert; Aichelbrg, Peter C. Scattering of classical and quantum particles by impulsive fields. (English) Zbl 1391.83004 Classical Quantum Gravity 35, No. 9, Article ID 095013, 13 p. (2018). MSC: 83A05 81U05 83C10 81Q05 46F30 PDFBibTeX XMLCite \textit{H. Balasin} and \textit{P. C. Aichelbrg}, Classical Quantum Gravity 35, No. 9, Article ID 095013, 13 p. (2018; Zbl 1391.83004) Full Text: DOI arXiv
Debrouwere, Andreas; Vernaeve, Hans; Vindas, Jasson Optimal embeddings of ultradistributions into differential algebras. (English) Zbl 1403.46033 Monatsh. Math. 186, No. 3, 407-438 (2018). Reviewer: Michael Kunzinger (Wien) MSC: 46F05 46F30 35A18 PDFBibTeX XMLCite \textit{A. Debrouwere} et al., Monatsh. Math. 186, No. 3, 407--438 (2018; Zbl 1403.46033) Full Text: DOI arXiv Link
Miteva, M.; Jolevska-Tuneska, B.; Atanasova-Pacemska, T. Results on the Colombeau products of the distribution \(x_+^{-r-1/2}\) with the distributions \(x_-^{-k-1/2}\) and \(x_-^{k-1/2}\). (English. Russian original) Zbl 1400.46037 Funct. Anal. Appl. 52, No. 1, 9-20 (2018); translation from Funkts. Anal. Prilozh. 52, No. 1, 13-25 (2018). MSC: 46F30 46F10 PDFBibTeX XMLCite \textit{M. Miteva} et al., Funct. Anal. Appl. 52, No. 1, 9--20 (2018; Zbl 1400.46037); translation from Funkts. Anal. Prilozh. 52, No. 1, 13--25 (2018) Full Text: DOI
Cortes, W.; Garcia, A. Ronaldo G.; da Silva, S. H. The ring of Colombeau’s full generalized quaternions. (English) Zbl 1401.46030 Commun. Algebra 46, No. 3, 1096-1109 (2018). Reviewer: Denis Sidorov (Irkutsk) MSC: 46F30 46F20 PDFBibTeX XMLCite \textit{W. Cortes} et al., Commun. Algebra 46, No. 3, 1096--1109 (2018; Zbl 1401.46030) Full Text: DOI
Agbebaku, Dennis Ferdinand; van der Walt, Jan Harm Differential algebras of generalised functions with dense singularities. (English) Zbl 1401.46029 Quaest. Math. 41, No. 2, 283-301 (2018). Reviewer: Denis Sidorov (Irkutsk) MSC: 46F30 35D30 35A20 PDFBibTeX XMLCite \textit{D. F. Agbebaku} and \textit{J. H. van der Walt}, Quaest. Math. 41, No. 2, 283--301 (2018; Zbl 1401.46029) Full Text: DOI
Rodríguez-Bermúdez, P.; Valiño-Alonso, B. Asymptotic Maslov’s method for shocks of conservation laws systems with quadratic flux. (English) Zbl 1407.35136 Appl. Anal. 97, No. 6, 888-901 (2018). MSC: 35L67 35A20 35F55 46F30 35L65 PDFBibTeX XMLCite \textit{P. Rodríguez-Bermúdez} and \textit{B. Valiño-Alonso}, Appl. Anal. 97, No. 6, 888--901 (2018; Zbl 1407.35136) Full Text: DOI
Khalfallah, Adel; Kosarew, Siegmund Examples of new nonstandard hulls of topological vector spaces. (English) Zbl 1396.26038 Proc. Am. Math. Soc. 146, No. 6, 2723-2739 (2018). Reviewer: K. P. Hart (Delft) MSC: 26E35 12J25 46F30 46S20 54J05 PDFBibTeX XMLCite \textit{A. Khalfallah} and \textit{S. Kosarew}, Proc. Am. Math. Soc. 146, No. 6, 2723--2739 (2018; Zbl 1396.26038) Full Text: DOI
Glogowatz, Martina Factorization of second-order strictly hyperbolic operators with logarithmic slow scale coefficients and generalized microlocal approximations. (English) Zbl 1387.35641 Electron. J. Differ. Equ. 2018, Paper No. 42, 49 p. (2018). MSC: 35S05 46F30 PDFBibTeX XMLCite \textit{M. Glogowatz}, Electron. J. Differ. Equ. 2018, Paper No. 42, 49 p. (2018; Zbl 1387.35641) Full Text: arXiv Link
Ortner, Franziska; Mazzotti, Marco Singular shock solutions in nonlinear chromatography. (English) Zbl 1387.35413 Nonlinear Anal., Real World Appl. 41, 66-81 (2018). MSC: 35L67 35L53 46F30 PDFBibTeX XMLCite \textit{F. Ortner} and \textit{M. Mazzotti}, Nonlinear Anal., Real World Appl. 41, 66--81 (2018; Zbl 1387.35413) Full Text: DOI
Mahmudov, Elimhan N. Optimization of second order differential inclusions with boundary value conditions. (English) Zbl 1470.34056 J. Nonlinear Convex Anal. 18, No. 9, 1653-1664 (2017). MSC: 34A60 46F30 46N10 49J15 49K15 PDFBibTeX XMLCite \textit{E. N. Mahmudov}, J. Nonlinear Convex Anal. 18, No. 9, 1653--1664 (2017; Zbl 1470.34056) Full Text: Link
Agbebaku, Dennis Ferdinand; van der Walt, Jan Harm The order completion method: a differential-algebraic representation. (English) Zbl 1474.46081 Novi Sad J. Math. 47, No. 1, 17-47 (2017). MSC: 46F30 35D99 46A40 46A19 54E15 PDFBibTeX XMLCite \textit{D. F. Agbebaku} and \textit{J. H. van der Walt}, Novi Sad J. Math. 47, No. 1, 17--47 (2017; Zbl 1474.46081) Full Text: Link
Debrouwere, Andreas; Nigsch, Eduard A. Sheaves of nonlinear generalized function spaces. (English) Zbl 1393.46031 New York J. Math. 23, 1751-1789 (2017). Reviewer: Denis Sidorov (Irkutsk) MSC: 46F30 46T30 PDFBibTeX XMLCite \textit{A. Debrouwere} and \textit{E. A. Nigsch}, New York J. Math. 23, 1751--1789 (2017; Zbl 1393.46031) Full Text: arXiv Link
Giordano, Paolo; Kunzinger, Michael A convenient notion of compact set for generalized functions. (English) Zbl 1400.46036 Proc. Edinb. Math. Soc., II. Ser. 61, No. 1, 57-92 (2018). Reviewer: Eduard Nigsch (Wien) MSC: 46F30 46A13 13J99 PDFBibTeX XMLCite \textit{P. Giordano} and \textit{M. Kunzinger}, Proc. Edinb. Math. Soc., II. Ser. 61, No. 1, 57--92 (2017; Zbl 1400.46036) Full Text: DOI arXiv
Vernaeve, H. An application of internal objects to microlocal analysis in generalized function algebras. (English) Zbl 1403.35017 Oberguggenberger, Michael (ed.) et al., Generalized functions and Fourier analysis. Dedicated to Stevan Pilipović on the occasion of his 65th birthday. Contributions of the 8th, 9th and 10th ISAAC congresses, Moscow, Russia, 2011, Krakow, Poland, 2013 and Macau, China, 2015. Basel: Birkhäuser/Springer (ISBN 978-3-319-51910-4/hbk; 978-3-319-51911-1/ebook). Operator Theory: Advances and Applications 260. Advances in Partial Differential Equations, 237-251 (2017). Reviewer: Eduard Nigsch (Wien) MSC: 35A27 46F30 PDFBibTeX XMLCite \textit{H. Vernaeve}, Oper. Theory: Adv. Appl. 260, 237--251 (2017; Zbl 1403.35017) Full Text: DOI arXiv Link
Giordano, Paolo; Kunzinger, Michael Inverse function theorems for generalized smooth functions. (English) Zbl 1394.46034 Oberguggenberger, Michael (ed.) et al., Generalized functions and Fourier analysis. Dedicated to Stevan Pilipović on the occasion of his 65th birthday. Contributions of the 8th, 9th and 10th ISAAC congresses, Moscow, Russia, 2011, Krakow, Poland, 2013 and Macau, China, 2015. Basel: Birkhäuser/Springer (ISBN 978-3-319-51910-4/hbk; 978-3-319-51911-1/ebook). Operator Theory: Advances and Applications 260. Advances in Partial Differential Equations, 95-114 (2017). MSC: 46F30 46-02 PDFBibTeX XMLCite \textit{P. Giordano} and \textit{M. Kunzinger}, Oper. Theory: Adv. Appl. 260, 95--114 (2017; Zbl 1394.46034) Full Text: DOI arXiv
Japundžić, Miloš; Rajter-Ćirić, Danijela Generalized uniformly continuous solution operators and inhomogeneous fractional evolution equations with variable coefficients. (English) Zbl 1386.35442 Electron. J. Differ. Equ. 2017, Paper No. 293, 24 p. (2017). MSC: 35R11 46F30 26A33 PDFBibTeX XMLCite \textit{M. Japundžić} and \textit{D. Rajter-Ćirić}, Electron. J. Differ. Equ. 2017, Paper No. 293, 24 p. (2017; Zbl 1386.35442) Full Text: Link
Byun, Sun-Sig; Ok, Jihoon; Park, Jung-Tae Regularity estimates for quasilinear elliptic equations with variable growth involving measure data. (English) Zbl 1374.35183 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 34, No. 7, 1639-1667 (2017). MSC: 35J92 46F30 42B37 PDFBibTeX XMLCite \textit{S.-S. Byun} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 34, No. 7, 1639--1667 (2017; Zbl 1374.35183) Full Text: DOI
Catuogno, Pedro; Molina, Sandra; Olivera, C. Generalized functions and Laguerre expansions. (English) Zbl 1388.46031 Monatsh. Math. 184, No. 1, 51-75 (2017). Reviewer: Eduard Nigsch (Wien) MSC: 46F10 46F12 46F30 PDFBibTeX XMLCite \textit{P. Catuogno} et al., Monatsh. Math. 184, No. 1, 51--75 (2017; Zbl 1388.46031) Full Text: DOI
Nigsch, Eduard A. Nonlinear generalized sections and vector bundle homomorphisms in Colombeau spaces of generalized functions. (English) Zbl 1395.46058 Math. Nachr. 290, No. 13, 1991-2008 (2017). Reviewer: Michael Kunzinger (Wien) MSC: 46T30 46F30 26E15 PDFBibTeX XMLCite \textit{E. A. Nigsch}, Math. Nachr. 290, No. 13, 1991--2008 (2017; Zbl 1395.46058) Full Text: DOI arXiv
Benci, Vieri; Luperi Baglini, Lorenzo Generalized solutions in PDEs and the Burgers’ equation. (English) Zbl 1373.35083 J. Differ. Equations 263, No. 10, 6916-6952 (2017). MSC: 35D30 30G06 46F30 35Q55 35D35 35A09 PDFBibTeX XMLCite \textit{V. Benci} and \textit{L. Luperi Baglini}, J. Differ. Equations 263, No. 10, 6916--6952 (2017; Zbl 1373.35083) Full Text: DOI arXiv
Nigsch, E. A. On a nonlinear Peetre’s theorem in full Colombeau algebras. (English) Zbl 1449.46033 Commentat. Math. Univ. Carol. 58, No. 1, 69-77 (2017). Reviewer: Michael Kunzinger (Wien) MSC: 46F30 PDFBibTeX XMLCite \textit{E. A. Nigsch}, Commentat. Math. Univ. Carol. 58, No. 1, 69--77 (2017; Zbl 1449.46033) Full Text: DOI arXiv
Průša, Vít; Řehoř, Martin; Tůma, Karel Colombeau algebra as a mathematical tool for investigating step load and step deformation of systems of nonlinear springs and dashpots. (English) Zbl 1373.46036 Z. Angew. Math. Phys. 68, No. 1, Paper No. 24, 13 p. (2017). Reviewer: Eduard Nigsch (Wien) MSC: 46F30 34A36 34A37 70G70 PDFBibTeX XMLCite \textit{V. Průša} et al., Z. Angew. Math. Phys. 68, No. 1, Paper No. 24, 13 p. (2017; Zbl 1373.46036) Full Text: DOI arXiv
Baglini, Lorenzo Luperi; Giordano, Paolo The category of Colombeau algebras. (English) Zbl 1373.46035 Monatsh. Math. 182, No. 3, 649-674 (2017). Reviewer: Michael Kunzinger (Wien) MSC: 46F30 18B99 PDFBibTeX XMLCite \textit{L. L. Baglini} and \textit{P. Giordano}, Monatsh. Math. 182, No. 3, 649--674 (2017; Zbl 1373.46035) Full Text: DOI arXiv
Cortes, Wagner; Garcia, Antonio R. G.; da Silva, Severino H. A Discontinuous Differential Calculus in the Framework Colombeau’s Full Algebra. arXiv:1706.02810 Preprint, arXiv:1706.02810 [math.CA] (2017). MSC: 46F30 46T20 26E30 30G06 BibTeX Cite \textit{W. Cortes} et al., ``A Discontinuous Differential Calculus in the Framework Colombeau's Full Algebra'', Preprint, arXiv:1706.02810 [math.CA] (2017) Full Text: arXiv OA License
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 PDFBibTeX XMLCite \textit{J. A. Marti} et al., Math. Model. Nat. Phenom. 11, No. 2, 89--99 (2016; Zbl 1398.35285) Full Text: DOI