Background and activities
Activities:
I am the Principal Investigator of the research project ("Toppforsk") Waves and Nonlinear Phenomena (WaNP). I am the Secretary of the International Mathematical Union (IMU). On the occasion of my 60th anniversary in 2016 the conference Non-linear PDEs, mathematical physics, and stochastic analysis was hosted here at NTNU.
Research areas:
Differential equations, mathematical physics; in particular hyperbolic conservation laws and completely integrable systems. Stochastic analysis and flow in porous media.
Teaching:
Spring 2017: TMA4170 Fourier analyse
Fall 2015: TMA4135 Matematikk 4D
Scientific, academic and artistic work
A selection of recent journal publications, artistic productions, books, including book and report excerpts. See all publications in the database
Journal publications
- (2016) Dirichlet-to-Neumann maps, abstract Weyl–Titchmarsh M-functions, and a generalized index of unbounded meromorphic operator-valued functions. Journal of Differential Equations. vol. 261 (6).
- (2016) Isentropic fluid dynamics in a curved pipe. Zeitschrift für Angewandte Mathematik und Physik. vol. 67 (5).
- (2016) On the Braess Paradox with Nonlinear Dynamics and Control Theory. Journal of Optimization Theory and Applications. vol. 168 (1).
- (2016) Convergence of finite difference schemes for the Benjamin–Ono equation. Numerische Mathematik. vol. 134 (2).
- (2016) Erratum to: On Factorizations of Analytic Operator-Valued Functions and Eigenvalue Multiplicity Questions. Integral equations and operator theory.
- (2016) The general peakon-antipeakon solution for the Camassa-Holm equation. Journal of Hyperbolic Differential Equations. vol. 13 (2).
- (2016) Addendum to “The Kolmogorov-Riesz compactness theorem” [Expo. Math. 28 (2010) 385–394]. Expositiones mathematicae. vol. 34.
- (2015) Operator splitting for the Benjamin-Ono equation. Journal of Differential Equations. vol. 259 (11).
- (2015) On factorizations of analytic operator-valued functions and eigenvalue multiplicity questions. Integral equations and operator theory. vol. 82 (1).
- (2015) A continuous interpolation between conservative and dissipative solutions. Forum of Mathematics, Sigma.
- (2015) A continuous interpolation between conservative and dissipative solutions for the two-component Camassa-Holm system. Forum of Mathematics, Sigma. vol. 3.
- (2015) Convergence of a fully discrete finite difference scheme for the Korteweg-de Vries equation. IMA Journal of Numerical Analysis. vol. 35 (3).
- (2014) Global dissipative solutions of the two-component Camassa-Holm system for initial data with nonvanishing asymptotics. Nonlinear Analysis: Real world applications. vol. 17 (1).
- (2014) On an inverse problem for scalar conservation laws. Inverse Problems. vol. 30 (3).
- (2013) LIPSCHITZ METRIC FOR THE CAMASSA-HOLM EQUATION ON THE LINE. Discrete and Continuous Dynamical Systems. vol. 33 (7).
- (2013) Optimal rebalancing of portfolios with transaction costs. Stochastics: An International Journal of Probability and Stochastic Processes. vol. 85 (3).
- (2013) OPERATOR SPLITTING FOR WELL-POSED ACTIVE SCALAR EQUATIONS. SIAM Journal on Mathematical Analysis. vol. 45 (1).
- (2013) Operator splitting for two-dimensional incompressible fluid equations. Mathematics of Computation. vol. 82 (282).
- (2013) Operator splitting for partial differential equations with Burgers nonlinearity. Mathematics of Computation. vol. 82.
- (2012) GLOBAL CONSERVATIVE SOLUTIONS TO THE CAMASSA-HOLM EQUATION FOR INITIAL DATA WITH NONVANISHING ASYMPTOTICS. Discrete and Continuous Dynamical Systems. vol. 32 (12).