Helge Holden

Helge Holden (* September 28 1956 in Oslo) is a Norwegian mathematician and mathematical physicist.

Holden put his candidate in 1981 and examination in 1985 at Raphael Høegh - Krohn at the University of Oslo PhD (Point Interactions and the short-range expansion. A Solvable Models in Quantum Mechanics and Its approximation). As a post - graduate student, he was 1985/86 at the Courant Institute of Mathematical Sciences of New York University. Since 1986 he is Assistant Professor and he is since 1991 professor of mathematics at the Norwegian Institute of Technology in Trondheim. He is also Adjunct Professor in Oslo.

In 1986 he was a visiting scientist at Caltech and 1996/97 at the University of Missouri.

It deals with partial differential equations ( hyperbolic conservation laws ), mathematical physics, stochastic analysis, integrable systems and hydrodynamics in porous media.

He is a member of Det Norske Kongelige Videnskabers Selskab in Trondheim, the Norwegian Academy of Science and the Norwegian Academy of Technology and the European Academy of Sciences.

In 2004 he was invited speaker at the European Congress of Mathematicians in Stockholm ( On the Camassa -Holm and Hunter - Saxton equations the ).

He was in 1996 one of the editors of the Collected Works of Lars Onsager.

Writings

• With NH Risebro: Front tracking for hyperbolic conservation laws, Springer Verlag 2007
• With B. Øksendal, J. Ubøe, TS Zhang Stochastic partial differential equations. A modeling, white noise functional approach, Birkhauser 1996, 2nd edition, Universitext, Springer Verlag 2010
• With Fritz Gesztesy, Raphael Høegh - Krohn, Sergio Albeverio: Solvable Models in Quantum Mechanics, Springer, 1988, 2nd Edition, American Mathematical Society Chelsea Publishing, 2005
• With Gesztesy soliton equations and Their algebraic - geometric solutions, Volume 1: 1 1 dimensional continous models, Cambridge University Press 2003
• With Gesztesy, J. Michor, Gerald Teschl soliton equations and Their algebraic - geometric solutions, Volume 2: 1 1 dimensional discrete models, Cambridge University Press 2008
• Sturm-Liouville Operators and Hilbert Spaces. A brief introduction, Trondheim, 2nd edition 2001
• Publisher with KH Karlsen: Nonlinear partial differential equations and hyperbolic wave phenomena, Contemporary Mathematics 526, AMS, 2010
• Publisher with KH Karlsen: Nonlinear partial differential equations. The Abel Symposium 2010, Springer Verlag 2012
• With K. H. Karlsen, K.-A. Lie, NH Risebro Operator Splitting for Nonlinear Partial Differential Equations with Rough Solutions, EMS 2010
• With VZ Enolskii, F. Gesztesy The classical massive Thirring model revisited, geometry in Gesztesy, Holden, Jost, Paycha, Röckner, Scarlatti Stochastic processes, physics and: new inter- plays I. A volume in honor of Sergio Albeverio, Canadian Mathematical Society Conference Proc. , 2000, pp. 263-200
• With W. Bulla, F. Gesztesy, G. Teschl algebro - Geometric Quasi - Periodic Finite - Gap Solutions of the Toda and Kac -van Moerbeke Hierarchies, Memoirs of the American Mathematical Society, Volume 135, 1998
• With A. Jensen (Editor): Schrödinger operator. Sonderborg, Denmark, 1988, Lecture Notes in Physics 345, Springer Verlag 1989
• Editor with S. Albeverio, J. E. Fenstad, T. Lindstrøm Ideas and Methods in Quantum and Statistical Physics ( in memory of Raphael Høegh - Krohn ), Cambridge University Press, Cambridge, 1992