Edit Profile Oberguggenberger, Michael B. Compute Distance To: Compute Author ID: oberguggenberger.michael-b Published as: Oberguggenberger, M.; Oberguggenberger, Michael; Oberguggenberger, Michael B. External Links: MGP · Wikidata · GND Documents Indexed: 102 Publications since 1982, including 14 Books all top 5 Co-Authors 31 single-authored 10 Pilipović, Stevan 7 Hormann, Gunther 6 Kunzinger, Michael 6 Wang, Ya-Guang 5 Colombeau, Jean-François 5 Ostermann, Alexander 4 Garetto, Claudia 4 Nedeljkov, Marko 4 Russo, Francesco 3 Deguchi, Hideo 3 Fetz, Thomas 3 Heibig, Arnaud 3 Schwarz, Martin jun. 2 Biagioni, Hebe A. 2 Gordić, Snežana 2 Grosser, Michael 2 Kamiński, Andrzej 2 Pittschmann, Simon 2 Scarpalezos, Dimitris 2 Seleši, Dora 2 Steinbauer, Roland 1 Aleksic, Jelena 1 Aragona, Jorge 1 Baumgartner, Florian 1 Coolen, Frank P. A. 1 de Hoop, Maarten V. 1 Delcroix, Antoine 1 Embacher, Hans G. 1 Fernandez, Roseli 1 Geguchi, Hideo 1 Gramchev, Todor V. 1 Grosse, Harald 1 Grübl, Gebhard 1 Hermann, Robert A. 1 Husty, Manfred L. 1 Juriaans, Stanley Orlando 1 Kirchner, Gerhard 1 Konjik, Sanja 1 Kreinovich, Vladik Yakovlevich 1 Lafon, F. C. 1 Lodwick, Weldon Alexander 1 Marti, Jean-André 1 Moral, Serafín 1 Netzer, Norbert 1 Neumann, Lukas 1 Pauer, Franz 1 Rajter-Ćirić, Danijela 1 Rosinger, Elemer E. 1 Sahoo, Manas Ranjan 1 Todorov, Ivan T. 1 Todorov, Todor Dimitrov 1 Toft, Joachim 1 Valmorin, Vincent S. 1 Vernaeve, Hans 1 Vickers, James A. 1 Vindas, Jasson 1 Wahlberg, Patrik 1 Wong, Man Wah 1 Xiang, Gang all top 5 Serials 7 Journal of Mathematical Analysis and Applications 6 Monatshefte für Mathematik 5 Mathematische Nachrichten 5 Zeitschrift für Analysis und ihre Anwendungen 4 Integral Transforms and Special Functions 3 Journal of Differential Equations 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Acta Applicandae Mathematicae 3 International Journal of Approximate Reasoning 3 SIAM Journal on Mathematical Analysis 3 Comptes Rendus de l’Académie des Sciences. Série I 3 Nonlinear Analysis. Theory, Methods & Applications 2 Mathematische Annalen 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Publications de l’Institut Mathématique. Nouvelle Série 2 Electronic Journal of Differential Equations (EJDE) 2 Undergraduate Topics in Computer Science 1 Applicable Analysis 1 International Journal of General Systems 1 Transport Theory and Statistical Physics 1 Bulletin. Classe des Sciences Mathématiques et Naturelles. Sciences Mathématiques 1 Fuzzy Sets and Systems 1 International Journal of Mathematics and Mathematical Sciences 1 Journal für die Reine und Angewandte Mathematik 1 Transactions of the American Mathematical Society 1 Comptes Rendus Mathématiques de l’Académie des Sciences 1 Internationale Mathematische Nachrichten 1 Asymptotic Analysis 1 Communications in Partial Differential Equations 1 Bollettino della Unione Matemàtica Italiana. Serie VI. A 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Mathematical and Computer Modelling of Dynamical Systems 1 International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 1 Banach Center Publications 1 North-Holland Mathematics Studies 1 Chapman & Hall/CRC Research Notes in Mathematics 1 Journal of Fixed Point Theory and Applications 1 Operator Theory: Advances and Applications all top 5 Fields 61 Partial differential equations (35-XX) 61 Functional analysis (46-XX) 13 Probability theory and stochastic processes (60-XX) 11 General and overarching topics; collections (00-XX) 8 Computer science (68-XX) 6 Ordinary differential equations (34-XX) 5 Real functions (26-XX) 5 Operator theory (47-XX) 3 Mathematical logic and foundations (03-XX) 3 Statistics (62-XX) 3 Quantum theory (81-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Numerical analysis (65-XX) 2 Mechanics of deformable solids (74-XX) 2 Fluid mechanics (76-XX) 1 History and biography (01-XX) 1 Functions of a complex variable (30-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Abstract harmonic analysis (43-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Differential geometry (53-XX) 1 Optics, electromagnetic theory (78-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 75 Publications have been cited 997 times in 468 Documents Cited by ▼ Year ▼ Multiplication of distributions and applications to partial differential equations. Zbl 0818.46036Oberguggenberger, M. 194 1992 Geometric theory of generalized functions with applications to general relativity. Zbl 0998.46015Grosser, Michael; Kunzinger, Michael; Oberguggenberger, Michael; Steinbauer, Roland 122 2001 Differential equations with fuzzy parameters. Zbl 0961.34047Oberguggenberger, M.; Pittschmann, S. 47 1999 Interactions of delta shock waves in a strictly hyperbolic system of conservation laws. Zbl 1155.35059Nedeljkov, M.; Oberguggenberger, M. 45 2008 Generalized solutions to Burgers’ equation. Zbl 0777.35071Biagioni, H. A.; Oberguggenberger, M. 29 1992 Characterization of Colombeau generalized functions by their pointvalues. Zbl 0935.46041Oberguggenberger, M.; Kunzinger, M. 26 1999 Generalized solutions to the Korteweg-de Vries and the regularized long- wave equations. Zbl 0757.35068Biagioni, H. A.; Oberguggenberger, M. 26 1992 Hyperbolic systems with discontinuous coefficients: Generalized solutions and a transmission problem in acoustics. Zbl 0705.35146Oberguggenberger, Michael 25 1989 Microlocal hypoellipticity of linear partial differential operators with generalized functions as coefficients. Zbl 1101.35005Hörmann, Günther; Oberguggenberger, Michael; Pilipovic, Stevan 22 2006 Generalized solutions to semilinear hyperbolic systems. Zbl 0615.35054Oberguggenberger, Michael 22 1987 Weak limits of solutions to semilinear hyperbolic systems. Zbl 0597.35012Oberguggenberger, Michael 22 1986 Generalized solutions to partial differential equations of evolution type. Zbl 0877.35026Colombeau, J. F.; Heibig, A.; Oberguggenberger, M. 20 1996 Pseudodifferential operators with generalized symbols and regularity theory. Zbl 1087.35102Garetto, Claudia; Gramchev, Todor; Oberguggenberger, Michael 19 2005 On a hyperbolic system with a compatible quadratic term: Generalized solutions, delta waves, and multiplication of distributions. Zbl 0711.35028Colombeau, J. F.; Oberguggenberger, M. 19 1990 Internal sets and internal functions in Colombeau theory. Zbl 1173.46024Oberguggenberger, M.; Vernaeve, H. 18 2008 Local properties of Colombeau generalized functions. Zbl 1034.46037Oberguggenberger, Michael; Pilipovic, Stevan; Scarpalezos, Dimitris 16 2003 An embedding of Schwartz distributions in the algebra of asymptotic functions. Zbl 0916.46028Oberguggenberger, Michael; Todorov, Todor 15 1998 Group analysis of differential equations and generalized functions. Zbl 0981.46038Kunzinger, Michael; Oberguggenberger, Michael 14 2000 Nonlinear stochastic wave equations. Zbl 0912.60072Oberguggenberger, M.; Russo, F. 14 1998 Solution of continuous nonlinear PDEs through order completion. Zbl 0821.35001Oberguggenberger, Michael B.; Rosinger, Elemér E. 13 1994 Generalized solutions to symmetric hyperbolic systems with discontinuous coefficients: The multidimensional case. Zbl 0766.35067Lafon, F.; Oberguggenberger, M. 13 1991 Case study of a nonlinear, nonconservative, nonstrictly hyperbolic system. Zbl 0790.35065Oberguggenberger, M. 12 1992 Global representatives of Colombeau holomorphic generalized functions. Zbl 1132.46031Oberguggenberger, M.; Pilipović, S.; Valmorin, V. 11 2007 Products of distributions. Zbl 0573.46019Oberguggenberger, Michael 11 1986 Nonlinear parabolic equations with regularized derivatives. Zbl 0926.35055Wang, Y. G.; Oberguggenberger, M. 10 1999 Positivity and positive definiteness in generalized function algebras. Zbl 1116.46031Oberguggenberger, M.; Pilipović, S.; Scarpalézos, D. 9 2007 Generalized solutions to a semilinear wave equation. Zbl 1078.35077Nedeljkov, M.; Oberguggenberger, M.; Pilipović, S. 9 2005 Generalized flows and singular ODEs on differentiable manifolds. Zbl 1060.46030Kunzinger, Michael; Oberguggenberger, Michael; Steinbauer, Roland; Vickers, James A. 9 2004 Nonlinear SPDEs: Colombeau solutions and pathwise limits. Zbl 0904.60048Oberguggenberger, Michael; Russo, Francesco 9 1998 Generalized functions and stochastic processes. Zbl 0829.46025Oberguggenberger, Michael 9 1995 Generalized solutions to conservation laws. Zbl 0794.35102Oberguggenberger, M.; Wang, Y.-G. 9 1994 Differential calculus and integration of generalized functions over membranes. Zbl 1252.46028Aragona, Jorge; Fernandez, Roseli; Juriaans, Stanley O.; Oberguggenberger, Michael 8 2012 Generalized functions in nonlinear models— a survey. Zbl 1042.46510Oberguggenberger, M. 8 2001 Generalized oscillatory integrals and Fourier integral operators. Zbl 1181.35360Garetto, Claudia; Hörmann, Günther; Oberguggenberger, Michael 7 2009 Ordinary differential equations and generalized functions. Zbl 0941.46026Hermann, Robert; Oberguggenberger, Michael 7 1999 Delta-waves for semilinear hyperbolic Cauchy problems. Zbl 0829.35074Oberguggenberger, Michael; Wang, Ya-Guang 7 1994 The Cauchy problem in a space of generalized functions. I. Zbl 0790.35015Colombeau, Jean-François; Heibig, Arnaud; Oberguggenberger, Michael 7 1993 Spectral asymptotic analysis in algebras of generalized functions. Zbl 1163.35303Delcroix, Antoine; Marti, Jean-André; Oberguggenberger, Michael 6 2008 Foundations of the calculus of variations in generalized function algebras. Zbl 1146.49021Konjik, Sanja; Kunzinger, Michael; Oberguggenberger, Michael 6 2008 Elliptic regularity and solvability for partial differential equations with Colombeau coefficients. Zbl 1062.46032Hormann, Gunther; Oberguggenberger, Michael 6 2004 Singular limiting behavior in nonlinear stochastic wave equations. Zbl 0987.60075Oberguggenberger, Michael; Russo, Francesco 6 2001 The Carleman system with positive measures as initial data—generalized solutions. Zbl 0735.35033Oberguggenberger, M. 6 1991 Evolution systems for paraxial wave equations of Schrödinger-type with non-smooth coefficients. Zbl 1173.35108de Hoop, Maarten; Hörmann, Günther; Oberguggenberger, Michael 5 2008 Stochastic differential equations driven by generalized positive noise. Zbl 1112.46034Oberguggenberger, Michael; Rajter-Ćirić, Danijela 5 2005 Propagation of singularities for semilinear hyperbolic initial-boundary value problems in one space dimension. Zbl 0577.35075Oberguggenberger, Michael 5 1986 Generalized Fourier integral operator methods for hyperbolic equations with singularities. Zbl 1297.35302Garetto, Claudia; Oberguggenberger, Michael 4 2014 White noise driven stochastic partial differential equations: Triviality and non-triviality. Zbl 0937.35193Russo, Francesco; Oberguggenberger, Michael 4 1999 The Cauchy problem in a space of generalized functions. II. Zbl 0826.46028Colombeau, Jean-François; Heibig, Arnaud; Oberguggenberger, Michael 4 1994 Products of distributions: Nonstandard methods. Zbl 0662.46048Oberguggenberger, M. 4 1988 Ordinary differential equations with delta function terms. Zbl 06451302Nedeljkov, Marko; Oberguggenberger, Michael 3 2012 Regularity theory in Colombeau algebras. Zbl 1121.46038Oberguggenberger, M. 3 2006 Symmetry groups, nonlinear partial differential equations, and generalized functions. Zbl 1036.35012Oberguggenberger, Michael 3 2001 Applications of possibility and evidence theory in civil engineering. Zbl 1113.68515Fetz, Thomas; Oberguggenberger, Michael; Pittschmann, Simon 3 2000 Reflection of delta-waves for nonlinear wave equations in one space variable. Zbl 0823.35125Oberguggenberger, Michael; Wang, Yaguang 3 1994 Hyperbolic systems with discontinuous coefficients: Examples. Zbl 0726.35133Oberguggenberger, Michael 3 1988 Systèmes hyperboliques à coefficients discontinus: Solutions généralisées et une application à l’acoustique linéaire. (Hyperbolic systems of discontinuous coefficients: generalized solutions and an application to linear acoustics). Zbl 0678.35064Oberguggenberger, Michael 3 1988 Der Graphensatz in lokalkonvexen topologischen Vektorraeumen. Zbl 0497.46004Oberguggenberger, Michael 3 1982 Imprecise random variables, random sets, and Monte Carlo simulation. Zbl 1397.60015Fetz, Thomas; Oberguggenberger, Michael 2 2016 Propagation of singularities for generalized solutions to wave equations with discontinuous coefficients. Zbl 1339.35010Deguchi, Hideo; Oberguggenberger, Michael 2 2016 Symmetrisers and generalised solutions for strictly hyperbolic systems with singular coefficients. Zbl 1328.35345Garetto, Claudia; Oberguggenberger, Michael 2 2015 Notes on regularity results in Colombeau algebras. Zbl 1091.35019Oberguggenberger, M. 2 2006 Generalized functions, nonlinear partial differential equations, and Lie groups. Zbl 1031.46049Oberguggenberger, M. 2 2001 Nonlinear theory of generalized functions. Proceedings of the workshop on nonlinear theory of nonlinear functions, Erwin-Schrödinger-Institute, Vienna, Austria, October–December 1997. Zbl 0918.00026Grosser, Michael (ed.); Hörmann, Günther (ed.); Kunzinger, Michael (ed.); Oberguggenberger, Michael (ed.) 2 1999 Regularized conservation laws and nonlinear geometric optics. Zbl 0920.35092Oberguggenberger, M.; Wang, Y. G. 2 1999 Nonlinear theories of generalized functions. Zbl 0823.46039Oberguggenberger, Michael 2 1995 Products of distributions in several variables and applications to zero- mass \(QED_ 2\). Zbl 0790.46023Embacher, H. G.; Grübl, G.; Oberguggenberger, M. 2 1992 Solutions généralisées de systèmes hyperboliques semilinéaires. (Generalized solutions to semilinear hyperbolic systems). Zbl 0649.35056Oberguggenberger, Michael 2 1987 Multiplication of distributions in the Colombeau algebra \({\mathcal G}(\Omega)\). Zbl 0611.46049Oberguggenberger, Michael 2 1986 Propagation of singularities for generalized solutions to nonlinear wave equations. Zbl 1446.35008Deguchi, Hideo; Oberguggenberger, Michael 1 2020 Probabilistic properties of generalized stochastic processes in algebras of generalized functions. Zbl 1429.60042Gordić, Snežana; Oberguggenberger, Michael; Pilipović, Stevan; Seleši, Dora 1 2018 Transport in a stochastic Goupillaud medium. Zbl 1390.35352Baumgartner, Florian; Oberguggenberger, Michael; Schwarz, Martin 1 2017 Radially symmetric shadow wave solutions to the system of pressureless gas dynamics in arbitrary dimensions. Zbl 1375.35349Nedeljkov, Marko; Neumann, Lukas; Oberguggenberger, Michael; Sahoo, Manas R. 1 2017 Approximate generalized solutions and measure-valued solutions to conservation laws. Zbl 1183.35078Aleksić, J.; Colombeau, J.-F.; Oberguggenberger, M.; Pilipović, S. 1 2009 Generalized functions for quantum fields obeying quadratic exchange relations. Zbl 0986.81071Grosse, H.; Oberguggenberger, M.; Todorov, I. T. 1 2000 Über Folgenkonvergenz in lokalkonvexen Räumen. Zbl 0611.46002Oberguggenberger, Michael 1 1986 Propagation of singularities for generalized solutions to nonlinear wave equations. Zbl 1446.35008Deguchi, Hideo; Oberguggenberger, Michael 1 2020 Probabilistic properties of generalized stochastic processes in algebras of generalized functions. Zbl 1429.60042Gordić, Snežana; Oberguggenberger, Michael; Pilipović, Stevan; Seleši, Dora 1 2018 Transport in a stochastic Goupillaud medium. Zbl 1390.35352Baumgartner, Florian; Oberguggenberger, Michael; Schwarz, Martin 1 2017 Radially symmetric shadow wave solutions to the system of pressureless gas dynamics in arbitrary dimensions. Zbl 1375.35349Nedeljkov, Marko; Neumann, Lukas; Oberguggenberger, Michael; Sahoo, Manas R. 1 2017 Imprecise random variables, random sets, and Monte Carlo simulation. Zbl 1397.60015Fetz, Thomas; Oberguggenberger, Michael 2 2016 Propagation of singularities for generalized solutions to wave equations with discontinuous coefficients. Zbl 1339.35010Deguchi, Hideo; Oberguggenberger, Michael 2 2016 Symmetrisers and generalised solutions for strictly hyperbolic systems with singular coefficients. Zbl 1328.35345Garetto, Claudia; Oberguggenberger, Michael 2 2015 Generalized Fourier integral operator methods for hyperbolic equations with singularities. Zbl 1297.35302Garetto, Claudia; Oberguggenberger, Michael 4 2014 Differential calculus and integration of generalized functions over membranes. Zbl 1252.46028Aragona, Jorge; Fernandez, Roseli; Juriaans, Stanley O.; Oberguggenberger, Michael 8 2012 Ordinary differential equations with delta function terms. Zbl 06451302Nedeljkov, Marko; Oberguggenberger, Michael 3 2012 Generalized oscillatory integrals and Fourier integral operators. Zbl 1181.35360Garetto, Claudia; Hörmann, Günther; Oberguggenberger, Michael 7 2009 Approximate generalized solutions and measure-valued solutions to conservation laws. Zbl 1183.35078Aleksić, J.; Colombeau, J.-F.; Oberguggenberger, M.; Pilipović, S. 1 2009 Interactions of delta shock waves in a strictly hyperbolic system of conservation laws. Zbl 1155.35059Nedeljkov, M.; Oberguggenberger, M. 45 2008 Internal sets and internal functions in Colombeau theory. Zbl 1173.46024Oberguggenberger, M.; Vernaeve, H. 18 2008 Spectral asymptotic analysis in algebras of generalized functions. Zbl 1163.35303Delcroix, Antoine; Marti, Jean-André; Oberguggenberger, Michael 6 2008 Foundations of the calculus of variations in generalized function algebras. Zbl 1146.49021Konjik, Sanja; Kunzinger, Michael; Oberguggenberger, Michael 6 2008 Evolution systems for paraxial wave equations of Schrödinger-type with non-smooth coefficients. Zbl 1173.35108de Hoop, Maarten; Hörmann, Günther; Oberguggenberger, Michael 5 2008 Global representatives of Colombeau holomorphic generalized functions. Zbl 1132.46031Oberguggenberger, M.; Pilipović, S.; Valmorin, V. 11 2007 Positivity and positive definiteness in generalized function algebras. Zbl 1116.46031Oberguggenberger, M.; Pilipović, S.; Scarpalézos, D. 9 2007 Microlocal hypoellipticity of linear partial differential operators with generalized functions as coefficients. Zbl 1101.35005Hörmann, Günther; Oberguggenberger, Michael; Pilipovic, Stevan 22 2006 Regularity theory in Colombeau algebras. Zbl 1121.46038Oberguggenberger, M. 3 2006 Notes on regularity results in Colombeau algebras. Zbl 1091.35019Oberguggenberger, M. 2 2006 Pseudodifferential operators with generalized symbols and regularity theory. Zbl 1087.35102Garetto, Claudia; Gramchev, Todor; Oberguggenberger, Michael 19 2005 Generalized solutions to a semilinear wave equation. Zbl 1078.35077Nedeljkov, M.; Oberguggenberger, M.; Pilipović, S. 9 2005 Stochastic differential equations driven by generalized positive noise. Zbl 1112.46034Oberguggenberger, Michael; Rajter-Ćirić, Danijela 5 2005 Generalized flows and singular ODEs on differentiable manifolds. Zbl 1060.46030Kunzinger, Michael; Oberguggenberger, Michael; Steinbauer, Roland; Vickers, James A. 9 2004 Elliptic regularity and solvability for partial differential equations with Colombeau coefficients. Zbl 1062.46032Hormann, Gunther; Oberguggenberger, Michael 6 2004 Local properties of Colombeau generalized functions. Zbl 1034.46037Oberguggenberger, Michael; Pilipovic, Stevan; Scarpalezos, Dimitris 16 2003 Geometric theory of generalized functions with applications to general relativity. Zbl 0998.46015Grosser, Michael; Kunzinger, Michael; Oberguggenberger, Michael; Steinbauer, Roland 122 2001 Generalized functions in nonlinear models— a survey. Zbl 1042.46510Oberguggenberger, M. 8 2001 Singular limiting behavior in nonlinear stochastic wave equations. Zbl 0987.60075Oberguggenberger, Michael; Russo, Francesco 6 2001 Symmetry groups, nonlinear partial differential equations, and generalized functions. Zbl 1036.35012Oberguggenberger, Michael 3 2001 Generalized functions, nonlinear partial differential equations, and Lie groups. Zbl 1031.46049Oberguggenberger, M. 2 2001 Group analysis of differential equations and generalized functions. Zbl 0981.46038Kunzinger, Michael; Oberguggenberger, Michael 14 2000 Applications of possibility and evidence theory in civil engineering. Zbl 1113.68515Fetz, Thomas; Oberguggenberger, Michael; Pittschmann, Simon 3 2000 Generalized functions for quantum fields obeying quadratic exchange relations. Zbl 0986.81071Grosse, H.; Oberguggenberger, M.; Todorov, I. T. 1 2000 Differential equations with fuzzy parameters. Zbl 0961.34047Oberguggenberger, M.; Pittschmann, S. 47 1999 Characterization of Colombeau generalized functions by their pointvalues. Zbl 0935.46041Oberguggenberger, M.; Kunzinger, M. 26 1999 Nonlinear parabolic equations with regularized derivatives. Zbl 0926.35055Wang, Y. G.; Oberguggenberger, M. 10 1999 Ordinary differential equations and generalized functions. Zbl 0941.46026Hermann, Robert; Oberguggenberger, Michael 7 1999 White noise driven stochastic partial differential equations: Triviality and non-triviality. Zbl 0937.35193Russo, Francesco; Oberguggenberger, Michael 4 1999 Nonlinear theory of generalized functions. Proceedings of the workshop on nonlinear theory of nonlinear functions, Erwin-Schrödinger-Institute, Vienna, Austria, October–December 1997. Zbl 0918.00026Grosser, Michael (ed.); Hörmann, Günther (ed.); Kunzinger, Michael (ed.); Oberguggenberger, Michael (ed.) 2 1999 Regularized conservation laws and nonlinear geometric optics. Zbl 0920.35092Oberguggenberger, M.; Wang, Y. G. 2 1999 An embedding of Schwartz distributions in the algebra of asymptotic functions. Zbl 0916.46028Oberguggenberger, Michael; Todorov, Todor 15 1998 Nonlinear stochastic wave equations. Zbl 0912.60072Oberguggenberger, M.; Russo, F. 14 1998 Nonlinear SPDEs: Colombeau solutions and pathwise limits. Zbl 0904.60048Oberguggenberger, Michael; Russo, Francesco 9 1998 Generalized solutions to partial differential equations of evolution type. Zbl 0877.35026Colombeau, J. F.; Heibig, A.; Oberguggenberger, M. 20 1996 Generalized functions and stochastic processes. Zbl 0829.46025Oberguggenberger, Michael 9 1995 Nonlinear theories of generalized functions. Zbl 0823.46039Oberguggenberger, Michael 2 1995 Solution of continuous nonlinear PDEs through order completion. Zbl 0821.35001Oberguggenberger, Michael B.; Rosinger, Elemér E. 13 1994 Generalized solutions to conservation laws. Zbl 0794.35102Oberguggenberger, M.; Wang, Y.-G. 9 1994 Delta-waves for semilinear hyperbolic Cauchy problems. Zbl 0829.35074Oberguggenberger, Michael; Wang, Ya-Guang 7 1994 The Cauchy problem in a space of generalized functions. II. Zbl 0826.46028Colombeau, Jean-François; Heibig, Arnaud; Oberguggenberger, Michael 4 1994 Reflection of delta-waves for nonlinear wave equations in one space variable. Zbl 0823.35125Oberguggenberger, Michael; Wang, Yaguang 3 1994 The Cauchy problem in a space of generalized functions. I. Zbl 0790.35015Colombeau, Jean-François; Heibig, Arnaud; Oberguggenberger, Michael 7 1993 Multiplication of distributions and applications to partial differential equations. Zbl 0818.46036Oberguggenberger, M. 194 1992 Generalized solutions to Burgers’ equation. Zbl 0777.35071Biagioni, H. A.; Oberguggenberger, M. 29 1992 Generalized solutions to the Korteweg-de Vries and the regularized long- wave equations. Zbl 0757.35068Biagioni, H. A.; Oberguggenberger, M. 26 1992 Case study of a nonlinear, nonconservative, nonstrictly hyperbolic system. Zbl 0790.35065Oberguggenberger, M. 12 1992 Products of distributions in several variables and applications to zero- mass \(QED_ 2\). Zbl 0790.46023Embacher, H. G.; Grübl, G.; Oberguggenberger, M. 2 1992 Generalized solutions to symmetric hyperbolic systems with discontinuous coefficients: The multidimensional case. Zbl 0766.35067Lafon, F.; Oberguggenberger, M. 13 1991 The Carleman system with positive measures as initial data—generalized solutions. Zbl 0735.35033Oberguggenberger, M. 6 1991 On a hyperbolic system with a compatible quadratic term: Generalized solutions, delta waves, and multiplication of distributions. Zbl 0711.35028Colombeau, J. F.; Oberguggenberger, M. 19 1990 Hyperbolic systems with discontinuous coefficients: Generalized solutions and a transmission problem in acoustics. Zbl 0705.35146Oberguggenberger, Michael 25 1989 Products of distributions: Nonstandard methods. Zbl 0662.46048Oberguggenberger, M. 4 1988 Hyperbolic systems with discontinuous coefficients: Examples. Zbl 0726.35133Oberguggenberger, Michael 3 1988 Systèmes hyperboliques à coefficients discontinus: Solutions généralisées et une application à l’acoustique linéaire. (Hyperbolic systems of discontinuous coefficients: generalized solutions and an application to linear acoustics). Zbl 0678.35064Oberguggenberger, Michael 3 1988 Generalized solutions to semilinear hyperbolic systems. Zbl 0615.35054Oberguggenberger, Michael 22 1987 Solutions généralisées de systèmes hyperboliques semilinéaires. (Generalized solutions to semilinear hyperbolic systems). Zbl 0649.35056Oberguggenberger, Michael 2 1987 Weak limits of solutions to semilinear hyperbolic systems. Zbl 0597.35012Oberguggenberger, Michael 22 1986 Products of distributions. Zbl 0573.46019Oberguggenberger, Michael 11 1986 Propagation of singularities for semilinear hyperbolic initial-boundary value problems in one space dimension. Zbl 0577.35075Oberguggenberger, Michael 5 1986 Multiplication of distributions in the Colombeau algebra \({\mathcal G}(\Omega)\). Zbl 0611.46049Oberguggenberger, Michael 2 1986 Über Folgenkonvergenz in lokalkonvexen Räumen. Zbl 0611.46002Oberguggenberger, Michael 1 1986 Der Graphensatz in lokalkonvexen topologischen Vektorraeumen. Zbl 0497.46004Oberguggenberger, Michael 3 1982 all cited Publications top 5 cited Publications all top 5 Cited by 399 Authors 32 Oberguggenberger, Michael B. 25 Pilipović, Stevan 21 Kunzinger, Michael 18 Hormann, Gunther 18 Vernaeve, Hans 14 Nedeljkov, Marko 13 Nigsch, Eduard Albert 12 Colombeau, Jean-François 11 Giordano, Paolo Robuffo 11 Scarpalezos, Dimitris 11 Stojanović, Mirjana N. 9 Aragona, Jorge 9 Garetto, Claudia 9 Sarrico, Carlos Orlando R. 9 Steinbauer, Roland 9 Sun, Meina 8 Ruzhansky, Michael V. 8 Shen, Chun 7 Baglini, Lorenzo Luperi 7 Bassanezi, Rodney Carlos 7 Biagioni, Hebe A. 7 De Barros, Laécio Carvalho 7 Delcroix, Antoine 7 Juriaans, Stanley Orlando 7 van der Walt, Jan Harm 6 Catuogno, Pedro José 6 Cecconello, Moiseis S. 6 Gramchev, Todor V. 6 Kmit, Irina 6 Marti, Jean-André 6 Olivera, Christian 6 Rajter-Ćirić, Danijela 6 Seleši, Dora 6 Shelkovich, Vladimir M. 6 Tokmagambetov, Niyaz Esenzholovich 5 Damyanov, Blagovest P. 5 Dévoué, Victor 5 Guo, Lihui 5 Konjik, Sanja 5 Mondal, Sankar Prasad 5 Wang, Ya-Guang 4 Ashyralyev, Allaberen 4 Benci, Vieri 4 Joseph, Kayyunnapara Thomas 4 Khalfallah, Adel 4 Mitrovic, Darko 4 Rosinger, Elemer E. 4 Sahoo, Manas Ranjan 4 Valmorin, Vincent S. 4 Vickers, James A. 4 Vindas, Jasson 4 Yin, Gan 4 Zhang, Ying-Li 3 Ahmadian, Ali 3 Allahviranloo, Tofigh 3 Atanasova-Pacemska, Tatjana 3 Bu, Charles 3 Chalco-Cano, Yurilev 3 Chen, Minghao 3 Dave, Shantanu 3 Debrouwere, Andreas 3 Fernandez, Roseli 3 Garcia, Antônio Ronaldo Gomes 3 Heibig, Arnaud 3 Jolevska-Tuneska, Biljana 3 Kamiński, Andrzej 3 Koch, Herbert 3 Leite, Jefferson 3 Mayerhofer, Eberhard 3 Melliani, Said 3 Melnikova, Irina V. 3 Mincheva-Kamińska, Svetlana 3 Mizukoshi, Marina Tuyako 3 Nozari, Kourosh 3 Oparnica, Ljubica 3 Paiva, Adelino 3 Pan, Lijun 3 Průša, Vít 3 Román-Flores, Heriberto E. 3 Salahshour, Soheil 3 Todorov, Todor Dimitrov 2 Abbasbandy, Saeid 2 Akbarzadeh-T, Mohammad-R 2 Akbarzadeh, Alireza 2 Alam, Shariful 2 Alekseeva, Uljana A. 2 Aleksic, Jelena 2 Bernard, Séverine 2 Bottazzi, Emanuele 2 Bouzar, Chikh 2 Viero Brandão, Adilson José 2 Burtscher, Annegret Y. 2 Cabral, V. M. 2 Cadeddu, Lucio 2 Chadli, Lalla Saadia 2 Chistyakov, Vyacheslav V. 2 Dai, Rui 2 Danilov, Vladimir G. 2 Đapić, Nenad 2 de Hoop, Maarten V. ...and 299 more Authors all top 5 Cited in 142 Serials 61 Journal of Mathematical Analysis and Applications 34 Monatshefte für Mathematik 29 Integral Transforms and Special Functions 13 Fuzzy Sets and Systems 13 Acta Applicandae Mathematicae 12 Journal of Differential Equations 12 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 10 Applicable Analysis 10 Mathematische Nachrichten 10 Zeitschrift für Analysis und ihre Anwendungen 9 Nonlinear Analysis. Theory, Methods & Applications 8 Journal of Mathematical Physics 8 Proceedings of the Edinburgh Mathematical Society. Series II 8 Transactions of the American Mathematical Society 7 ZAMP. Zeitschrift für angewandte Mathematik und Physik 6 Information Sciences 6 Nonlinear Analysis. Real World Applications 4 General Relativity and Gravitation 4 Mathematical Methods in the Applied Sciences 4 Mathematical Notes 4 Applied Mathematics and Computation 4 Proceedings of the American Mathematical Society 4 Mathematical Problems in Engineering 4 Journal of Nonlinear Mathematical Physics 3 Archive for Rational Mechanics and Analysis 3 Communications in Algebra 3 Computers & Mathematics with Applications 3 Communications in Mathematical Physics 3 Rocky Mountain Journal of Mathematics 3 Chaos, Solitons and Fractals 3 Journal of Geometry and Physics 3 Advances in Mathematics 3 Journal of Functional Analysis 3 Chinese Annals of Mathematics. Series B 3 International Journal of Approximate Reasoning 3 Applied Mathematics Letters 3 Indagationes Mathematicae. New Series 3 Russian Journal of Mathematical Physics 3 Computational and Applied Mathematics 3 Abstract and Applied Analysis 3 Soft Computing 3 Fractional Calculus & Applied Analysis 3 Journal of Applied Mathematics 3 International Journal of Applied and Computational Mathematics 2 Indian Journal of Pure & Applied Mathematics 2 Letters in Mathematical Physics 2 Czechoslovak Mathematical Journal 2 Functional Analysis and its Applications 2 International Journal of Mathematics and Mathematical Sciences 2 Journal of Computational and Applied Mathematics 2 Mathematische Annalen 2 Mathematische Zeitschrift 2 Quarterly of Applied Mathematics 2 Tokyo Journal of Mathematics 2 Stochastic Analysis and Applications 2 Journal of Applied Analysis 2 Acta Mathematica Sinica. English Series 2 Journal of Intelligent and Fuzzy Systems 2 Analysis and Applications (Singapore) 2 Advances in Difference Equations 2 Kyoto Journal of Mathematics 2 Advances in Nonlinear Analysis 1 Analysis Mathematica 1 Computer Methods in Applied Mechanics and Engineering 1 Israel Journal of Mathematics 1 Journal d’Analyse Mathématique 1 Journal of the Franklin Institute 1 Theoretical and Mathematical Physics 1 Transport Theory and Statistical Physics 1 Bulletin of Mathematical Biology 1 Commentationes Mathematicae Universitatis Carolinae 1 Journal of Algebra 1 The Journal of Symbolic Logic 1 Pacific Journal of Mathematics 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Quaestiones Mathematicae 1 Results in Mathematics 1 Siberian Mathematical Journal 1 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques 1 Statistics & Probability Letters 1 Optimization 1 Revista Matemática Iberoamericana 1 MCSS. Mathematics of Control, Signals, and Systems 1 Forum Mathematicum 1 Journal of Integral Equations and Applications 1 Differential Geometry and its Applications 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Applied Mathematical Modelling 1 Communications in Partial Differential Equations 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Stochastic Processes and their Applications 1 Bulletin of the American Mathematical Society. New Series 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Journal of Nonlinear Science 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Potential Analysis 1 SIAM Journal on Scientific Computing 1 Applied Mathematics. Series B (English Edition) 1 Journal of Mathematical Sciences (New York) ...and 42 more Serials all top 5 Cited in 48 Fields 248 Functional analysis (46-XX) 243 Partial differential equations (35-XX) 54 Ordinary differential equations (34-XX) 37 Fluid mechanics (76-XX) 30 Real functions (26-XX) 30 Probability theory and stochastic processes (60-XX) 25 Numerical analysis (65-XX) 17 Operator theory (47-XX) 16 Relativity and gravitational theory (83-XX) 14 Differential geometry (53-XX) 14 Global analysis, analysis on manifolds (58-XX) 11 Mathematical logic and foundations (03-XX) 11 Mechanics of deformable solids (74-XX) 10 Dynamical systems and ergodic theory (37-XX) 10 General topology (54-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 7 Commutative algebra (13-XX) 7 Integral transforms, operational calculus (44-XX) 7 Biology and other natural sciences (92-XX) 6 Quantum theory (81-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 4 Field theory and polynomials (12-XX) 4 Measure and integration (28-XX) 4 Functions of a complex variable (30-XX) 3 Special functions (33-XX) 3 Integral equations (45-XX) 3 Computer science (68-XX) 3 Mechanics of particles and systems (70-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Geophysics (86-XX) 3 Operations research, mathematical programming (90-XX) 2 General and overarching topics; collections (00-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Category theory; homological algebra (18-XX) 2 Topological groups, Lie groups (22-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Statistics (62-XX) 2 Systems theory; control (93-XX) 2 Information and communication theory, circuits (94-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 \(K\)-theory (19-XX) 1 Potential theory (31-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX) 1 Convex and discrete geometry (52-XX) 1 Optics, electromagnetic theory (78-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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