Edit Profile (opens in new tab) Oberguggenberger, Michael B. Compute Distance To: Compute Author ID: oberguggenberger.michael-b Published as: Oberguggenberger, Michael; Oberguggenberger, M.; Oberguggenberger, Michael B. External Links: MGP · Wikidata · GND Documents Indexed: 98 Publications since 1982, including 8 Books 7 Contributions as Editor Co-Authors: 59 Co-Authors with 70 Joint Publications 1,237 Co-Co-Authors all top 5 Co-Authors 32 single-authored 10 Pilipović, Stevan 7 Hormann, Gunther 6 Kunzinger, Michael 5 Colombeau, Jean-François 5 Nedeljkov, Marko 5 Ostermann, Alexander 5 Wang, Ya-Guang 4 Garetto, Claudia 4 Russo, Francesco 3 Deguchi, Hideo 3 Fetz, Thomas 3 Heibig, Arnaud 3 Neumann, Lukas 2 Biagioni, Hebe A. 2 Gordić, Snežana 2 Grosser, Michael 2 Kamiński, Andrzej 2 Pittschmann, Simon 2 Sahoo, Manas Ranjan 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 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 Pauer, Franz 1 Rajter-Ćirić, Danijela 1 Rosinger, Elemer E. 1 Sen, Abhrojyoti 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 Wang, Yaguang 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 Journal of Differential Equations 4 Integral Transforms and Special Functions 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 Mathematics and its Applications (Dordrecht) 1 North-Holland Mathematics Studies 1 Teubner-Texte zur Mathematik 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 63 Partial differential equations (35-XX) 62 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) 4 Fluid mechanics (76-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) 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 Open 77 Publications have been cited 1,046 times in 508 Documents Cited by ▼ Year ▼ Multiplication of distributions and applications to partial differential equations. Zbl 0818.46036Oberguggenberger, M. 197 1992 Geometric theory of generalized functions with applications to general relativity. Zbl 0998.46015Grosser, Michael; Kunzinger, Michael; Oberguggenberger, Michael; Steinbauer, Roland 120 2001 Interactions of delta shock waves in a strictly hyperbolic system of conservation laws. Zbl 1155.35059Nedeljkov, M.; Oberguggenberger, M. 56 2008 Differential equations with fuzzy parameters. Zbl 0961.34047Oberguggenberger, M.; Pittschmann, S. 50 1999 Generalized solutions to Burgers’ equation. Zbl 0777.35071Biagioni, H. A.; Oberguggenberger, M. 31 1992 Generalized solutions to the Korteweg-de Vries and the regularized long- wave equations. Zbl 0757.35068Biagioni, H. A.; Oberguggenberger, M. 28 1992 Characterization of Colombeau generalized functions by their pointvalues. Zbl 0935.46041Oberguggenberger, M.; Kunzinger, M. 27 1999 Hyperbolic systems with discontinuous coefficients: Generalized solutions and a transmission problem in acoustics. Zbl 0705.35146Oberguggenberger, Michael 26 1989 Weak limits of solutions to semilinear hyperbolic systems. Zbl 0597.35012Oberguggenberger, Michael 22 1986 Generalized solutions to semilinear hyperbolic systems. Zbl 0615.35054Oberguggenberger, Michael 22 1987 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 partial differential equations of evolution type. Zbl 0877.35026Colombeau, J. F.; Heibig, A.; Oberguggenberger, M. 21 1996 Internal sets and internal functions in Colombeau theory. Zbl 1173.46024Oberguggenberger, M.; Vernaeve, H. 21 2008 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 Pseudodifferential operators with generalized symbols and regularity theory. Zbl 1087.35102Garetto, Claudia; Gramchev, Todor; Oberguggenberger, Michael 18 2005 Nonlinear stochastic wave equations. Zbl 0912.60072Oberguggenberger, M.; Russo, F. 17 1998 An embedding of Schwartz distributions in the algebra of asymptotic functions. Zbl 0916.46028Oberguggenberger, Michael; Todorov, Todor 16 1998 Local properties of Colombeau generalized functions. Zbl 1034.46037Oberguggenberger, Michael; Pilipovic, Stevan; Scarpalezos, Dimitris 15 2003 Generalized solutions to symmetric hyperbolic systems with discontinuous coefficients: The multidimensional case. Zbl 0766.35067Lafon, F.; Oberguggenberger, M. 14 1991 Solution of continuous nonlinear PDEs through order completion. Zbl 0821.35001Oberguggenberger, Michael B.; Rosinger, Elemér E. 14 1994 Group analysis of differential equations and generalized functions. Zbl 0981.46038Kunzinger, Michael; Oberguggenberger, Michael 14 2000 Generalized flows and singular ODEs on differentiable manifolds. Zbl 1060.46030Kunzinger, Michael; Oberguggenberger, Michael; Steinbauer, Roland; Vickers, James A. 12 2004 Global representatives of Colombeau holomorphic generalized functions. Zbl 1132.46031Oberguggenberger, M.; Pilipović, S.; Valmorin, V. 12 2007 Case study of a nonlinear, nonconservative, nonstrictly hyperbolic system. Zbl 0790.35065Oberguggenberger, M. 11 1992 Differential calculus and integration of generalized functions over membranes. Zbl 1252.46028Aragona, Jorge; Fernandez, Roseli; Juriaans, Stanley O.; Oberguggenberger, Michael 11 2012 Products of distributions. Zbl 0573.46019Oberguggenberger, Michael 11 1986 Nonlinear parabolic equations with regularized derivatives. Zbl 0926.35055Wang, Y. G.; Oberguggenberger, M. 10 1999 Generalized solutions to a semilinear wave equation. Zbl 1078.35077Nedeljkov, M.; Oberguggenberger, M.; Pilipović, S. 9 2005 Nonlinear SPDEs: Colombeau solutions and pathwise limits. Zbl 0904.60048Oberguggenberger, Michael; Russo, Francesco 9 1998 Generalized solutions to conservation laws. Zbl 0794.35102Oberguggenberger, M.; Wang, Y.-G. 9 1994 Generalized functions in nonlinear models— a survey. Zbl 1042.46510Oberguggenberger, M. 9 2001 Positivity and positive definiteness in generalized function algebras. Zbl 1116.46031Oberguggenberger, M.; Pilipović, S.; Scarpalézos, D. 9 2007 The Cauchy problem in a space of generalized functions. I. (Le problème de Cauchy dans un espace de fonctions généralisées. I.) Zbl 0790.35015Colombeau, Jean-François; Heibig, Arnaud; Oberguggenberger, Michael 8 1993 Ordinary differential equations and generalized functions. Zbl 0941.46026Hermann, Robert; Oberguggenberger, Michael 8 1999 Singular limiting behavior in nonlinear stochastic wave equations. Zbl 0987.60075Oberguggenberger, Michael; Russo, Francesco 8 2001 Generalized functions and stochastic processes. Zbl 0829.46025Oberguggenberger, Michael 8 1995 Delta-waves for semilinear hyperbolic Cauchy problems. Zbl 0829.35074Oberguggenberger, Michael; Wang, Ya-Guang 7 1994 Generalized oscillatory integrals and Fourier integral operators. Zbl 1181.35360Garetto, Claudia; Hörmann, Günther; Oberguggenberger, Michael 7 2009 Foundations of the calculus of variations in generalized function algebras. Zbl 1146.49021Konjik, Sanja; Kunzinger, Michael; Oberguggenberger, Michael 7 2008 The Carleman system with positive measures as initial data—generalized solutions. Zbl 0735.35033Oberguggenberger, M. 6 1991 Elliptic regularity and solvability for partial differential equations with Colombeau coefficients. Zbl 1062.46032Hormann, Gunther; Oberguggenberger, Michael 6 2004 Evolution systems for paraxial wave equations of Schrödinger-type with non-smooth coefficients. Zbl 1173.35108de Hoop, Maarten; Hörmann, Günther; Oberguggenberger, Michael 6 2008 Ordinary differential equations with delta function terms. Zbl 1452.46030Nedeljkov, Marko; Oberguggenberger, Michael 6 2012 Stochastic differential equations driven by generalized positive noise. Zbl 1112.46034Oberguggenberger, Michael; Rajter-Ćirić, Danijela 5 2005 Spectral asymptotic analysis in algebras of generalized functions. Zbl 1163.35303Delcroix, Antoine; Marti, Jean-André; Oberguggenberger, Michael 5 2008 Generalized Fourier integral operator methods for hyperbolic equations with singularities. Zbl 1297.35302Garetto, Claudia; Oberguggenberger, Michael 5 2014 Propagation of singularities for semilinear hyperbolic initial-boundary value problems in one space dimension. Zbl 0577.35075Oberguggenberger, Michael 5 1986 The Cauchy problem in a space of generalized functions. II. (Le problème de Cauchy dans un espace de fonctions généralisées. II.) Zbl 0826.46028Colombeau, Jean-François; Heibig, Arnaud; Oberguggenberger, Michael 4 1994 White noise driven stochastic partial differential equations: Triviality and non-triviality. Zbl 0937.35193Russo, Francesco; Oberguggenberger, Michael 4 1999 Applications of possibility and evidence theory in civil engineering. Zbl 1113.68515Fetz, Thomas; Oberguggenberger, Michael; Pittschmann, Simon 4 2000 Products of distributions: Nonstandard methods. Zbl 0662.46048Oberguggenberger, M. 4 1988 Propagation of singularities for generalized solutions to wave equations with discontinuous coefficients. Zbl 1339.35010Deguchi, Hideo; Oberguggenberger, Michael 4 2016 Reflection of delta-waves for nonlinear wave equations in one space variable. Zbl 0823.35125Oberguggenberger, Michael; Wang, Yaguang 3 1994 Symmetry groups, nonlinear partial differential equations, and generalized functions. Zbl 1036.35012Oberguggenberger, Michael 3 2001 Regularity theory in Colombeau algebras. Zbl 1121.46038Oberguggenberger, M. 3 2006 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 stochastic processes in algebras of generalized functions: independence, stationarity and SPDEs. Zbl 1478.60119Gordić, Snežana; Oberguggenberger, Michael; Pilipović, Stevan; Seleši, Dora 2 2019 Regularized conservation laws and nonlinear geometric optics. Zbl 0920.35092Oberguggenberger, M.; Wang, Y. G. 2 1999 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 functions, nonlinear partial differential equations, and Lie groups. Zbl 1031.46049Oberguggenberger, M. 2 2001 Nonlinear theories of generalized functions. Zbl 0823.46039Oberguggenberger, Michael 2 1995 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. 2 2017 Imprecise random variables, random sets, and Monte Carlo simulation. Zbl 1397.60015Fetz, Thomas; Oberguggenberger, Michael 2 2016 Über Folgenkonvergenz in lokalkonvexen Räumen. Zbl 0611.46002Oberguggenberger, Michael 2 1986 Multiplication of distributions in the Colombeau algebra \({\mathcal G}(\Omega)\). Zbl 0611.46049Oberguggenberger, Michael 2 1986 Symmetrisers and generalised solutions for strictly hyperbolic systems with singular coefficients. Zbl 1328.35345Garetto, Claudia; Oberguggenberger, Michael 2 2015 Hyperbolic systems with discontinuous coefficients: Examples. Zbl 0726.35133Oberguggenberger, Michael 2 1988 Solutions généralisées de systèmes hyperboliques semilinéaires. (Generalized solutions to semilinear hyperbolic systems). Zbl 0649.35056Oberguggenberger, Michael 2 1987 Notes on regularity results in Colombeau algebras. Zbl 1091.35019Oberguggenberger, M. 2 2006 Der Graphensatz in lokalkonvexen topologischen Vektorraeumen. Zbl 0497.46004Oberguggenberger, Michael 2 1982 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 Propagation of singularities for generalized solutions to nonlinear wave equations. Zbl 1446.35008Deguchi, Hideo; Oberguggenberger, Michael 1 2020 Nonlinear theory of generalized functions. Proceedings of the workshop on nonlinear theory of nonlinear functions, Erwin-Schrödinger-Institute, Vienna, Austria, October–December 1997. Zbl 0918.00026 1 1999 Generalized functions for quantum fields obeying quadratic exchange relations. Zbl 0986.81071Grosse, H.; Oberguggenberger, M.; Todorov, I. T. 1 2000 Approximate generalized solutions and measure-valued solutions to conservation laws. Zbl 1183.35078Aleksić, J.; Colombeau, J.-F.; Oberguggenberger, M.; Pilipović, S. 1 2009 The wave equation with a discontinuous coefficient depending on time only: generalized solutions and propagation of singularities. Zbl 1272.35010Geguchi, Hideo; Hörmann, Günther; Oberguggenberger, Michael 1 2013 Propagation of singularities for generalized solutions to nonlinear wave equations. Zbl 1446.35008Deguchi, Hideo; Oberguggenberger, Michael 1 2020 Generalized stochastic processes in algebras of generalized functions: independence, stationarity and SPDEs. Zbl 1478.60119Gordić, Snežana; Oberguggenberger, Michael; Pilipović, Stevan; Seleši, Dora 2 2019 Probabilistic properties of generalized stochastic processes in algebras of generalized functions. Zbl 1429.60042Gordić, Snežana; Oberguggenberger, Michael; Pilipović, Stevan; Seleši, Dora 1 2018 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. 2 2017 Transport in a stochastic Goupillaud medium. Zbl 1390.35352Baumgartner, Florian; Oberguggenberger, Michael; Schwarz, Martin 1 2017 Propagation of singularities for generalized solutions to wave equations with discontinuous coefficients. Zbl 1339.35010Deguchi, Hideo; Oberguggenberger, Michael 4 2016 Imprecise random variables, random sets, and Monte Carlo simulation. Zbl 1397.60015Fetz, Thomas; 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 5 2014 The wave equation with a discontinuous coefficient depending on time only: generalized solutions and propagation of singularities. Zbl 1272.35010Geguchi, Hideo; Hörmann, Günther; Oberguggenberger, Michael 1 2013 Differential calculus and integration of generalized functions over membranes. Zbl 1252.46028Aragona, Jorge; Fernandez, Roseli; Juriaans, Stanley O.; Oberguggenberger, Michael 11 2012 Ordinary differential equations with delta function terms. Zbl 1452.46030Nedeljkov, Marko; Oberguggenberger, Michael 6 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. 56 2008 Internal sets and internal functions in Colombeau theory. Zbl 1173.46024Oberguggenberger, M.; Vernaeve, H. 21 2008 Foundations of the calculus of variations in generalized function algebras. Zbl 1146.49021Konjik, Sanja; Kunzinger, Michael; Oberguggenberger, Michael 7 2008 Evolution systems for paraxial wave equations of Schrödinger-type with non-smooth coefficients. Zbl 1173.35108de Hoop, Maarten; Hörmann, Günther; Oberguggenberger, Michael 6 2008 Spectral asymptotic analysis in algebras of generalized functions. Zbl 1163.35303Delcroix, Antoine; Marti, Jean-André; Oberguggenberger, Michael 5 2008 Global representatives of Colombeau holomorphic generalized functions. Zbl 1132.46031Oberguggenberger, M.; Pilipović, S.; Valmorin, V. 12 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 18 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. 12 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 15 2003 Geometric theory of generalized functions with applications to general relativity. Zbl 0998.46015Grosser, Michael; Kunzinger, Michael; Oberguggenberger, Michael; Steinbauer, Roland 120 2001 Generalized functions in nonlinear models— a survey. Zbl 1042.46510Oberguggenberger, M. 9 2001 Singular limiting behavior in nonlinear stochastic wave equations. Zbl 0987.60075Oberguggenberger, Michael; Russo, Francesco 8 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 4 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. 50 1999 Characterization of Colombeau generalized functions by their pointvalues. Zbl 0935.46041Oberguggenberger, M.; Kunzinger, M. 27 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 8 1999 White noise driven stochastic partial differential equations: Triviality and non-triviality. Zbl 0937.35193Russo, Francesco; Oberguggenberger, Michael 4 1999 Regularized conservation laws and nonlinear geometric optics. Zbl 0920.35092Oberguggenberger, M.; Wang, Y. G. 2 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 0918.00026 1 1999 Nonlinear stochastic wave equations. Zbl 0912.60072Oberguggenberger, M.; Russo, F. 17 1998 An embedding of Schwartz distributions in the algebra of asymptotic functions. Zbl 0916.46028Oberguggenberger, Michael; Todorov, Todor 16 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. 21 1996 Generalized functions and stochastic processes. Zbl 0829.46025Oberguggenberger, Michael 8 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. 14 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. (Le problème de Cauchy dans un espace de fonctions généralisées. 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. (Le problème de Cauchy dans un espace de fonctions généralisées. I.) Zbl 0790.35015Colombeau, Jean-François; Heibig, Arnaud; Oberguggenberger, Michael 8 1993 Multiplication of distributions and applications to partial differential equations. Zbl 0818.46036Oberguggenberger, M. 197 1992 Generalized solutions to Burgers’ equation. Zbl 0777.35071Biagioni, H. A.; Oberguggenberger, M. 31 1992 Generalized solutions to the Korteweg-de Vries and the regularized long- wave equations. Zbl 0757.35068Biagioni, H. A.; Oberguggenberger, M. 28 1992 Case study of a nonlinear, nonconservative, nonstrictly hyperbolic system. Zbl 0790.35065Oberguggenberger, M. 11 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. 14 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 26 1989 Products of distributions: Nonstandard methods. Zbl 0662.46048Oberguggenberger, M. 4 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 Hyperbolic systems with discontinuous coefficients: Examples. Zbl 0726.35133Oberguggenberger, Michael 2 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 Über Folgenkonvergenz in lokalkonvexen Räumen. Zbl 0611.46002Oberguggenberger, Michael 2 1986 Multiplication of distributions in the Colombeau algebra \({\mathcal G}(\Omega)\). Zbl 0611.46049Oberguggenberger, Michael 2 1986 Der Graphensatz in lokalkonvexen topologischen Vektorraeumen. Zbl 0497.46004Oberguggenberger, Michael 2 1982 all cited Publications top 5 cited Publications all top 5 Cited by 437 Authors 34 Oberguggenberger, Michael B. 25 Pilipović, Stevan 20 Kunzinger, Michael 18 Hormann, Gunther 18 Vernaeve, Hans 16 Nedeljkov, Marko 15 Nigsch, Eduard Albert 13 Giordano, Paolo Robuffo 12 Colombeau, Jean-François 11 Garetto, Claudia 11 Scarpalezos, Dimitris 11 Shen, Chun 11 Stojanović, Mirjana N. 10 Steinbauer, Roland 10 Sun, Meina 9 Aragona, Jorge 9 Ruzhansky, Michael V. 8 Bassanezi, Rodney Carlos 8 Juriaans, Stanley Orlando 8 Rajter-Ćirić, Danijela 8 Sarrico, Carlos Orlando R. 8 van der Walt, Jan Harm 7 Baglini, Lorenzo Luperi 7 Biagioni, Hebe A. 7 De Barros, Laécio Carvalho 7 Delcroix, Antoine 7 Dévoué, Victor 7 Tokmagambetov, Niyaz Esenzholovich 6 Catuogno, Pedro José 6 Cecconello, Moiseis S. 6 Gramchev, Todor V. 6 Kmit, Irina 6 Marti, Jean-André 6 Olivera, Christian 6 Seleši, Dora 6 Shelkovich, Vladimir M. 6 Zhang, Yanyan 5 Damyanov, Blagovest P. 5 Guo, Lihui 5 Konjik, Sanja 5 Mondal, Sankar Prasad 5 Sahoo, Manas Ranjan 4 Ashyralyev, Allaberen 4 Benci, Vieri 4 Garcia, Antônio Ronaldo Gomes 4 Japundžić, Miloš 4 Joseph, Kayyunnapara Thomas 4 Khalfallah, Adel 4 Melliani, Said 4 Vindas, Jasson 4 Wang, Ya-Guang 4 Yin, Gan 4 Zhang, Yu 3 Ahmadian, Ali 3 Allahviranloo, Tofigh 3 Atanasova-Pacemska, Tatjana 3 Bottazzi, Emanuele 3 Bouzar, Chikh 3 Bu, Charles 3 Chadli, Lalla Saadia 3 Chalco-Cano, Yurilev 3 Chen, Minghao 3 Dave, Shantanu 3 Debrouwere, Andreas 3 Fernandez, Roseli 3 Heibig, Arnaud 3 Jolevska-Tuneska, Biljana 3 Kalisch, Henrik 3 Kamiński, Andrzej 3 Koch, Herbert 3 Leite, Jefferson 3 Mayerhofer, Eberhard 3 Melnikova, Irina V. 3 Mincheva-Kamińska, Svetlana 3 Mitrovic, Darko 3 Mizukoshi, Marina Tuyako 3 Nozari, Kourosh 3 Oparnica, Ljubica 3 Pan, Lijun 3 Průša, Vít 3 Román-Flores, Heriberto E. 3 Rosinger, Elemer E. 3 Salahshour, Soheil 3 Sen, Abhrojyoti 3 Todorov, Todor Dimitrov 3 Valmorin, Vincent S. 3 Vickers, James A. 2 Abbasbandy, Saeid 2 Agbebaku, Dennis Ferdinand 2 Akbarzadeh-T, Mohammad-R 2 Akbarzadeh, Alireza 2 Alam, Shariful 2 Aleksic, Jelena 2 Altybay, Arshyn 2 Bernard, Séverine 2 Viero Brandão, Adilson José 2 Burtscher, Annegret Y. 2 Cabral, V. M. 2 Cadeddu, Lucio 2 Chistyakov, Vyacheslav V. ...and 337 more Authors all top 5 Cited in 155 Serials 60 Journal of Mathematical Analysis and Applications 39 Monatshefte für Mathematik 29 Integral Transforms and Special Functions 15 Fuzzy Sets and Systems 13 Journal of Differential Equations 13 Acta Applicandae Mathematicae 12 Applicable Analysis 12 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 10 Mathematische Nachrichten 10 Zeitschrift für Analysis und ihre Anwendungen 9 Transactions of the American Mathematical Society 8 Journal of Mathematical Physics 8 Proceedings of the Edinburgh Mathematical Society. Series II 8 Nonlinear Analysis. Theory, Methods & Applications 7 ZAMP. Zeitschrift für angewandte Mathematik und Physik 7 Nonlinear Analysis. Real World Applications 6 Information Sciences 4 Communications in Mathematical Physics 4 General Relativity and Gravitation 4 Mathematical Methods in the Applied Sciences 4 Mathematical Notes 4 Chaos, Solitons and Fractals 4 Applied Mathematics and Computation 4 Proceedings of the American Mathematical Society 4 International Journal of Approximate Reasoning 4 Mathematical Problems in Engineering 4 Fractional Calculus & Applied Analysis 4 Journal of Nonlinear Mathematical Physics 3 Archive for Rational Mechanics and Analysis 3 Communications in Algebra 3 Letters in Mathematical Physics 3 Rocky Mountain Journal of Mathematics 3 Advances in Mathematics 3 Journal of Functional Analysis 3 Chinese Annals of Mathematics. Series B 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 Novi Sad Journal of Mathematics 3 Journal of Applied Mathematics 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Analysis and Applications (Singapore) 3 Advances in Difference Equations 3 International Journal of Applied and Computational Mathematics 2 Computers & Mathematics with Applications 2 Indian Journal of Pure & Applied Mathematics 2 Journal of Geometry and 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 Stochastic Processes and their Applications 2 Bulletin of the American Mathematical Society. New Series 2 Journal of Applied Analysis 2 Acta Mathematica Sinica. English Series 2 International Journal of Nonlinear Sciences and Numerical Simulation 2 Journal of Intelligent and Fuzzy Systems 2 Mathematical Modelling of Natural Phenomena 2 Journal of Pseudo-Differential Operators and Applications 2 Kyoto Journal of Mathematics 2 Advances in Nonlinear Analysis 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 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 Nonlinearity 1 Theoretical and Mathematical Physics 1 Transport Theory and Statistical Physics 1 Bulletin of Mathematical Biology 1 The Annals of Probability 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 Mathematica Bohemica 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 ...and 55 more Serials all top 5 Cited in 48 Fields 266 Partial differential equations (35-XX) 262 Functional analysis (46-XX) 61 Ordinary differential equations (34-XX) 44 Fluid mechanics (76-XX) 36 Probability theory and stochastic processes (60-XX) 35 Real functions (26-XX) 26 Numerical analysis (65-XX) 21 Operator theory (47-XX) 18 Relativity and gravitational theory (83-XX) 16 Global analysis, analysis on manifolds (58-XX) 15 Differential geometry (53-XX) 13 Mathematical logic and foundations (03-XX) 11 General topology (54-XX) 11 Mechanics of deformable solids (74-XX) 10 Dynamical systems and ergodic theory (37-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 Calculus of variations and optimal control; optimization (49-XX) 5 Quantum theory (81-XX) 4 Field theory and polynomials (12-XX) 4 Measure and integration (28-XX) 4 Functions of a complex variable (30-XX) 4 Computer science (68-XX) 4 Operations research, mathematical programming (90-XX) 3 Category theory; homological algebra (18-XX) 3 Special functions (33-XX) 3 Integral equations (45-XX) 3 Statistics (62-XX) 3 Mechanics of particles and systems (70-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Geophysics (86-XX) 2 General and overarching topics; collections (00-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Topological groups, Lie groups (22-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Difference and functional equations (39-XX) 2 Optics, electromagnetic theory (78-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 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX) 1 Convex and discrete geometry (52-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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