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## Oberguggenberger, Michael B.

Compute Distance To:
 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
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#### 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
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#### 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
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#### 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)

#### 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 0818.46036
Oberguggenberger, M.
1992
Geometric theory of generalized functions with applications to general relativity. Zbl 0998.46015
Grosser, Michael; Kunzinger, Michael; Oberguggenberger, Michael; Steinbauer, Roland
2001
Differential equations with fuzzy parameters. Zbl 0961.34047
Oberguggenberger, M.; Pittschmann, S.
1999
Interactions of delta shock waves in a strictly hyperbolic system of conservation laws. Zbl 1155.35059
Nedeljkov, M.; Oberguggenberger, M.
2008
Generalized solutions to Burgers’ equation. Zbl 0777.35071
Biagioni, H. A.; Oberguggenberger, M.
1992
Characterization of Colombeau generalized functions by their pointvalues. Zbl 0935.46041
Oberguggenberger, M.; Kunzinger, M.
1999
Generalized solutions to the Korteweg-de Vries and the regularized long- wave equations. Zbl 0757.35068
Biagioni, H. A.; Oberguggenberger, M.
1992
Hyperbolic systems with discontinuous coefficients: Generalized solutions and a transmission problem in acoustics. Zbl 0705.35146
Oberguggenberger, Michael
1989
Microlocal hypoellipticity of linear partial differential operators with generalized functions as coefficients. Zbl 1101.35005
Hörmann, Günther; Oberguggenberger, Michael; Pilipovic, Stevan
2006
Generalized solutions to semilinear hyperbolic systems. Zbl 0615.35054
Oberguggenberger, Michael
1987
Weak limits of solutions to semilinear hyperbolic systems. Zbl 0597.35012
Oberguggenberger, Michael
1986
Generalized solutions to partial differential equations of evolution type. Zbl 0877.35026
Colombeau, J. F.; Heibig, A.; Oberguggenberger, M.
1996
Pseudodifferential operators with generalized symbols and regularity theory. Zbl 1087.35102
Garetto, Claudia; Gramchev, Todor; Oberguggenberger, Michael
2005
On a hyperbolic system with a compatible quadratic term: Generalized solutions, delta waves, and multiplication of distributions. Zbl 0711.35028
Colombeau, J. F.; Oberguggenberger, M.
1990
Internal sets and internal functions in Colombeau theory. Zbl 1173.46024
Oberguggenberger, M.; Vernaeve, H.
2008
Local properties of Colombeau generalized functions. Zbl 1034.46037
Oberguggenberger, Michael; Pilipovic, Stevan; Scarpalezos, Dimitris
2003
An embedding of Schwartz distributions in the algebra of asymptotic functions. Zbl 0916.46028
Oberguggenberger, Michael; Todorov, Todor
1998
Group analysis of differential equations and generalized functions. Zbl 0981.46038
Kunzinger, Michael; Oberguggenberger, Michael
2000
Nonlinear stochastic wave equations. Zbl 0912.60072
Oberguggenberger, M.; Russo, F.
1998
Solution of continuous nonlinear PDEs through order completion. Zbl 0821.35001
Oberguggenberger, Michael B.; Rosinger, Elemér E.
1994
Generalized solutions to symmetric hyperbolic systems with discontinuous coefficients: The multidimensional case. Zbl 0766.35067
Lafon, F.; Oberguggenberger, M.
1991
Case study of a nonlinear, nonconservative, nonstrictly hyperbolic system. Zbl 0790.35065
Oberguggenberger, M.
1992
Global representatives of Colombeau holomorphic generalized functions. Zbl 1132.46031
Oberguggenberger, M.; Pilipović, S.; Valmorin, V.
2007
Products of distributions. Zbl 0573.46019
Oberguggenberger, Michael
1986
Nonlinear parabolic equations with regularized derivatives. Zbl 0926.35055
Wang, Y. G.; Oberguggenberger, M.
1999
Positivity and positive definiteness in generalized function algebras. Zbl 1116.46031
Oberguggenberger, M.; Pilipović, S.; Scarpalézos, D.
2007
Generalized solutions to a semilinear wave equation. Zbl 1078.35077
Nedeljkov, M.; Oberguggenberger, M.; Pilipović, S.
2005
Generalized flows and singular ODEs on differentiable manifolds. Zbl 1060.46030
Kunzinger, Michael; Oberguggenberger, Michael; Steinbauer, Roland; Vickers, James A.
2004
Nonlinear SPDEs: Colombeau solutions and pathwise limits. Zbl 0904.60048
Oberguggenberger, Michael; Russo, Francesco
1998
Generalized functions and stochastic processes. Zbl 0829.46025
Oberguggenberger, Michael
1995
Generalized solutions to conservation laws. Zbl 0794.35102
Oberguggenberger, M.; Wang, Y.-G.
1994
Differential calculus and integration of generalized functions over membranes. Zbl 1252.46028
Aragona, Jorge; Fernandez, Roseli; Juriaans, Stanley O.; Oberguggenberger, Michael
2012
Generalized functions in nonlinear models— a survey. Zbl 1042.46510
Oberguggenberger, M.
2001
Generalized oscillatory integrals and Fourier integral operators. Zbl 1181.35360
Garetto, Claudia; Hörmann, Günther; Oberguggenberger, Michael
2009
Ordinary differential equations and generalized functions. Zbl 0941.46026
Hermann, Robert; Oberguggenberger, Michael
1999
Delta-waves for semilinear hyperbolic Cauchy problems. Zbl 0829.35074
Oberguggenberger, Michael; Wang, Ya-Guang
1994
The Cauchy problem in a space of generalized functions. I. Zbl 0790.35015
Colombeau, Jean-François; Heibig, Arnaud; Oberguggenberger, Michael
1993
Spectral asymptotic analysis in algebras of generalized functions. Zbl 1163.35303
Delcroix, Antoine; Marti, Jean-André; Oberguggenberger, Michael
2008
Foundations of the calculus of variations in generalized function algebras. Zbl 1146.49021
Konjik, Sanja; Kunzinger, Michael; Oberguggenberger, Michael
2008
Elliptic regularity and solvability for partial differential equations with Colombeau coefficients. Zbl 1062.46032
Hormann, Gunther; Oberguggenberger, Michael
2004
Singular limiting behavior in nonlinear stochastic wave equations. Zbl 0987.60075
Oberguggenberger, Michael; Russo, Francesco
2001
The Carleman system with positive measures as initial data—generalized solutions. Zbl 0735.35033
Oberguggenberger, M.
1991
Evolution systems for paraxial wave equations of Schrödinger-type with non-smooth coefficients. Zbl 1173.35108
de Hoop, Maarten; Hörmann, Günther; Oberguggenberger, Michael
2008
Stochastic differential equations driven by generalized positive noise. Zbl 1112.46034
Oberguggenberger, Michael; Rajter-Ćirić, Danijela
2005
Propagation of singularities for semilinear hyperbolic initial-boundary value problems in one space dimension. Zbl 0577.35075
Oberguggenberger, Michael
1986
Generalized Fourier integral operator methods for hyperbolic equations with singularities. Zbl 1297.35302
Garetto, Claudia; Oberguggenberger, Michael
2014
White noise driven stochastic partial differential equations: Triviality and non-triviality. Zbl 0937.35193
Russo, Francesco; Oberguggenberger, Michael
1999
The Cauchy problem in a space of generalized functions. II. Zbl 0826.46028
Colombeau, Jean-François; Heibig, Arnaud; Oberguggenberger, Michael
1994
Products of distributions: Nonstandard methods. Zbl 0662.46048
Oberguggenberger, M.
1988
Ordinary differential equations with delta function terms. Zbl 06451302
Nedeljkov, Marko; Oberguggenberger, Michael
2012
Regularity theory in Colombeau algebras. Zbl 1121.46038
Oberguggenberger, M.
2006
Symmetry groups, nonlinear partial differential equations, and generalized functions. Zbl 1036.35012
Oberguggenberger, Michael
2001
Applications of possibility and evidence theory in civil engineering. Zbl 1113.68515
Fetz, Thomas; Oberguggenberger, Michael; Pittschmann, Simon
2000
Reflection of delta-waves for nonlinear wave equations in one space variable. Zbl 0823.35125
Oberguggenberger, Michael; Wang, Yaguang
1994
Hyperbolic systems with discontinuous coefficients: Examples. Zbl 0726.35133
Oberguggenberger, Michael
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 0678.35064
Oberguggenberger, Michael
1988
Der Graphensatz in lokalkonvexen topologischen Vektorraeumen. Zbl 0497.46004
Oberguggenberger, Michael
1982
Imprecise random variables, random sets, and Monte Carlo simulation. Zbl 1397.60015
Fetz, Thomas; Oberguggenberger, Michael
2016
Propagation of singularities for generalized solutions to wave equations with discontinuous coefficients. Zbl 1339.35010
Deguchi, Hideo; Oberguggenberger, Michael
2016
Symmetrisers and generalised solutions for strictly hyperbolic systems with singular coefficients. Zbl 1328.35345
Garetto, Claudia; Oberguggenberger, Michael
2015
Notes on regularity results in Colombeau algebras. Zbl 1091.35019
Oberguggenberger, M.
2006
Generalized functions, nonlinear partial differential equations, and Lie groups. Zbl 1031.46049
Oberguggenberger, M.
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 0918.00026
Grosser, Michael (ed.); Hörmann, Günther (ed.); Kunzinger, Michael (ed.); Oberguggenberger, Michael (ed.)
1999
Regularized conservation laws and nonlinear geometric optics. Zbl 0920.35092
Oberguggenberger, M.; Wang, Y. G.
1999
Nonlinear theories of generalized functions. Zbl 0823.46039
Oberguggenberger, Michael
1995
Products of distributions in several variables and applications to zero- mass $$QED_ 2$$. Zbl 0790.46023
Embacher, H. G.; Grübl, G.; Oberguggenberger, M.
1992
Solutions généralisées de systèmes hyperboliques semilinéaires. (Generalized solutions to semilinear hyperbolic systems). Zbl 0649.35056
Oberguggenberger, Michael
1987
Multiplication of distributions in the Colombeau algebra $${\mathcal G}(\Omega)$$. Zbl 0611.46049
Oberguggenberger, Michael
1986
Propagation of singularities for generalized solutions to nonlinear wave equations. Zbl 1446.35008
Deguchi, Hideo; Oberguggenberger, Michael
2020
Probabilistic properties of generalized stochastic processes in algebras of generalized functions. Zbl 1429.60042
Gordić, Snežana; Oberguggenberger, Michael; Pilipović, Stevan; Seleši, Dora
2018
Transport in a stochastic Goupillaud medium. Zbl 1390.35352
Baumgartner, Florian; Oberguggenberger, Michael; Schwarz, Martin
2017
Radially symmetric shadow wave solutions to the system of pressureless gas dynamics in arbitrary dimensions. Zbl 1375.35349
Nedeljkov, Marko; Neumann, Lukas; Oberguggenberger, Michael; Sahoo, Manas R.
2017
Approximate generalized solutions and measure-valued solutions to conservation laws. Zbl 1183.35078
Aleksić, J.; Colombeau, J.-F.; Oberguggenberger, M.; Pilipović, S.
2009
Generalized functions for quantum fields obeying quadratic exchange relations. Zbl 0986.81071
Grosse, H.; Oberguggenberger, M.; Todorov, I. T.
2000
Über Folgenkonvergenz in lokalkonvexen Räumen. Zbl 0611.46002
Oberguggenberger, Michael
1986
Propagation of singularities for generalized solutions to nonlinear wave equations. Zbl 1446.35008
Deguchi, Hideo; Oberguggenberger, Michael
2020
Probabilistic properties of generalized stochastic processes in algebras of generalized functions. Zbl 1429.60042
Gordić, Snežana; Oberguggenberger, Michael; Pilipović, Stevan; Seleši, Dora
2018
Transport in a stochastic Goupillaud medium. Zbl 1390.35352
Baumgartner, Florian; Oberguggenberger, Michael; Schwarz, Martin
2017
Radially symmetric shadow wave solutions to the system of pressureless gas dynamics in arbitrary dimensions. Zbl 1375.35349
Nedeljkov, Marko; Neumann, Lukas; Oberguggenberger, Michael; Sahoo, Manas R.
2017
Imprecise random variables, random sets, and Monte Carlo simulation. Zbl 1397.60015
Fetz, Thomas; Oberguggenberger, Michael
2016
Propagation of singularities for generalized solutions to wave equations with discontinuous coefficients. Zbl 1339.35010
Deguchi, Hideo; Oberguggenberger, Michael
2016
Symmetrisers and generalised solutions for strictly hyperbolic systems with singular coefficients. Zbl 1328.35345
Garetto, Claudia; Oberguggenberger, Michael
2015
Generalized Fourier integral operator methods for hyperbolic equations with singularities. Zbl 1297.35302
Garetto, Claudia; Oberguggenberger, Michael
2014
Differential calculus and integration of generalized functions over membranes. Zbl 1252.46028
Aragona, Jorge; Fernandez, Roseli; Juriaans, Stanley O.; Oberguggenberger, Michael
2012
Ordinary differential equations with delta function terms. Zbl 06451302
Nedeljkov, Marko; Oberguggenberger, Michael
2012
Generalized oscillatory integrals and Fourier integral operators. Zbl 1181.35360
Garetto, Claudia; Hörmann, Günther; Oberguggenberger, Michael
2009
Approximate generalized solutions and measure-valued solutions to conservation laws. Zbl 1183.35078
Aleksić, J.; Colombeau, J.-F.; Oberguggenberger, M.; Pilipović, S.
2009
Interactions of delta shock waves in a strictly hyperbolic system of conservation laws. Zbl 1155.35059
Nedeljkov, M.; Oberguggenberger, M.
2008
Internal sets and internal functions in Colombeau theory. Zbl 1173.46024
Oberguggenberger, M.; Vernaeve, H.
2008
Spectral asymptotic analysis in algebras of generalized functions. Zbl 1163.35303
Delcroix, Antoine; Marti, Jean-André; Oberguggenberger, Michael
2008
Foundations of the calculus of variations in generalized function algebras. Zbl 1146.49021
Konjik, Sanja; Kunzinger, Michael; Oberguggenberger, Michael
2008
Evolution systems for paraxial wave equations of Schrödinger-type with non-smooth coefficients. Zbl 1173.35108
de Hoop, Maarten; Hörmann, Günther; Oberguggenberger, Michael
2008
Global representatives of Colombeau holomorphic generalized functions. Zbl 1132.46031
Oberguggenberger, M.; Pilipović, S.; Valmorin, V.
2007
Positivity and positive definiteness in generalized function algebras. Zbl 1116.46031
Oberguggenberger, M.; Pilipović, S.; Scarpalézos, D.
2007
Microlocal hypoellipticity of linear partial differential operators with generalized functions as coefficients. Zbl 1101.35005
Hörmann, Günther; Oberguggenberger, Michael; Pilipovic, Stevan
2006
Regularity theory in Colombeau algebras. Zbl 1121.46038
Oberguggenberger, M.
2006
Notes on regularity results in Colombeau algebras. Zbl 1091.35019
Oberguggenberger, M.
2006
Pseudodifferential operators with generalized symbols and regularity theory. Zbl 1087.35102
Garetto, Claudia; Gramchev, Todor; Oberguggenberger, Michael
2005
Generalized solutions to a semilinear wave equation. Zbl 1078.35077
Nedeljkov, M.; Oberguggenberger, M.; Pilipović, S.
2005
Stochastic differential equations driven by generalized positive noise. Zbl 1112.46034
Oberguggenberger, Michael; Rajter-Ćirić, Danijela
2005
Generalized flows and singular ODEs on differentiable manifolds. Zbl 1060.46030
Kunzinger, Michael; Oberguggenberger, Michael; Steinbauer, Roland; Vickers, James A.
2004
Elliptic regularity and solvability for partial differential equations with Colombeau coefficients. Zbl 1062.46032
Hormann, Gunther; Oberguggenberger, Michael
2004
Local properties of Colombeau generalized functions. Zbl 1034.46037
Oberguggenberger, Michael; Pilipovic, Stevan; Scarpalezos, Dimitris
2003
Geometric theory of generalized functions with applications to general relativity. Zbl 0998.46015
Grosser, Michael; Kunzinger, Michael; Oberguggenberger, Michael; Steinbauer, Roland
2001
Generalized functions in nonlinear models— a survey. Zbl 1042.46510
Oberguggenberger, M.
2001
Singular limiting behavior in nonlinear stochastic wave equations. Zbl 0987.60075
Oberguggenberger, Michael; Russo, Francesco
2001
Symmetry groups, nonlinear partial differential equations, and generalized functions. Zbl 1036.35012
Oberguggenberger, Michael
2001
Generalized functions, nonlinear partial differential equations, and Lie groups. Zbl 1031.46049
Oberguggenberger, M.
2001
Group analysis of differential equations and generalized functions. Zbl 0981.46038
Kunzinger, Michael; Oberguggenberger, Michael
2000
Applications of possibility and evidence theory in civil engineering. Zbl 1113.68515
Fetz, Thomas; Oberguggenberger, Michael; Pittschmann, Simon
2000
Generalized functions for quantum fields obeying quadratic exchange relations. Zbl 0986.81071
Grosse, H.; Oberguggenberger, M.; Todorov, I. T.
2000
Differential equations with fuzzy parameters. Zbl 0961.34047
Oberguggenberger, M.; Pittschmann, S.
1999
Characterization of Colombeau generalized functions by their pointvalues. Zbl 0935.46041
Oberguggenberger, M.; Kunzinger, M.
1999
Nonlinear parabolic equations with regularized derivatives. Zbl 0926.35055
Wang, Y. G.; Oberguggenberger, M.
1999
Ordinary differential equations and generalized functions. Zbl 0941.46026
Hermann, Robert; Oberguggenberger, Michael
1999
White noise driven stochastic partial differential equations: Triviality and non-triviality. Zbl 0937.35193
Russo, Francesco; Oberguggenberger, Michael
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
Grosser, Michael (ed.); Hörmann, Günther (ed.); Kunzinger, Michael (ed.); Oberguggenberger, Michael (ed.)
1999
Regularized conservation laws and nonlinear geometric optics. Zbl 0920.35092
Oberguggenberger, M.; Wang, Y. G.
1999
An embedding of Schwartz distributions in the algebra of asymptotic functions. Zbl 0916.46028
Oberguggenberger, Michael; Todorov, Todor
1998
Nonlinear stochastic wave equations. Zbl 0912.60072
Oberguggenberger, M.; Russo, F.
1998
Nonlinear SPDEs: Colombeau solutions and pathwise limits. Zbl 0904.60048
Oberguggenberger, Michael; Russo, Francesco
1998
Generalized solutions to partial differential equations of evolution type. Zbl 0877.35026
Colombeau, J. F.; Heibig, A.; Oberguggenberger, M.
1996
Generalized functions and stochastic processes. Zbl 0829.46025
Oberguggenberger, Michael
1995
Nonlinear theories of generalized functions. Zbl 0823.46039
Oberguggenberger, Michael
1995
Solution of continuous nonlinear PDEs through order completion. Zbl 0821.35001
Oberguggenberger, Michael B.; Rosinger, Elemér E.
1994
Generalized solutions to conservation laws. Zbl 0794.35102
Oberguggenberger, M.; Wang, Y.-G.
1994
Delta-waves for semilinear hyperbolic Cauchy problems. Zbl 0829.35074
Oberguggenberger, Michael; Wang, Ya-Guang
1994
The Cauchy problem in a space of generalized functions. II. Zbl 0826.46028
Colombeau, Jean-François; Heibig, Arnaud; Oberguggenberger, Michael
1994
Reflection of delta-waves for nonlinear wave equations in one space variable. Zbl 0823.35125
Oberguggenberger, Michael; Wang, Yaguang
1994
The Cauchy problem in a space of generalized functions. I. Zbl 0790.35015
Colombeau, Jean-François; Heibig, Arnaud; Oberguggenberger, Michael
1993
Multiplication of distributions and applications to partial differential equations. Zbl 0818.46036
Oberguggenberger, M.
1992
Generalized solutions to Burgers’ equation. Zbl 0777.35071
Biagioni, H. A.; Oberguggenberger, M.
1992
Generalized solutions to the Korteweg-de Vries and the regularized long- wave equations. Zbl 0757.35068
Biagioni, H. A.; Oberguggenberger, M.
1992
Case study of a nonlinear, nonconservative, nonstrictly hyperbolic system. Zbl 0790.35065
Oberguggenberger, M.
1992
Products of distributions in several variables and applications to zero- mass $$QED_ 2$$. Zbl 0790.46023
Embacher, H. G.; Grübl, G.; Oberguggenberger, M.
1992
Generalized solutions to symmetric hyperbolic systems with discontinuous coefficients: The multidimensional case. Zbl 0766.35067
Lafon, F.; Oberguggenberger, M.
1991
The Carleman system with positive measures as initial data—generalized solutions. Zbl 0735.35033
Oberguggenberger, M.
1991
On a hyperbolic system with a compatible quadratic term: Generalized solutions, delta waves, and multiplication of distributions. Zbl 0711.35028
Colombeau, J. F.; Oberguggenberger, M.
1990
Hyperbolic systems with discontinuous coefficients: Generalized solutions and a transmission problem in acoustics. Zbl 0705.35146
Oberguggenberger, Michael
1989
Products of distributions: Nonstandard methods. Zbl 0662.46048
Oberguggenberger, M.
1988
Hyperbolic systems with discontinuous coefficients: Examples. Zbl 0726.35133
Oberguggenberger, Michael
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 0678.35064
Oberguggenberger, Michael
1988
Generalized solutions to semilinear hyperbolic systems. Zbl 0615.35054
Oberguggenberger, Michael
1987
Solutions généralisées de systèmes hyperboliques semilinéaires. (Generalized solutions to semilinear hyperbolic systems). Zbl 0649.35056
Oberguggenberger, Michael
1987
Weak limits of solutions to semilinear hyperbolic systems. Zbl 0597.35012
Oberguggenberger, Michael
1986
Products of distributions. Zbl 0573.46019
Oberguggenberger, Michael
1986
Propagation of singularities for semilinear hyperbolic initial-boundary value problems in one space dimension. Zbl 0577.35075
Oberguggenberger, Michael
1986
Multiplication of distributions in the Colombeau algebra $${\mathcal G}(\Omega)$$. Zbl 0611.46049
Oberguggenberger, Michael
1986
Über Folgenkonvergenz in lokalkonvexen Räumen. Zbl 0611.46002
Oberguggenberger, Michael
1986
Der Graphensatz in lokalkonvexen topologischen Vektorraeumen. Zbl 0497.46004
Oberguggenberger, Michael
1982
all top 5

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
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#### 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)

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