Bakgrunn og aktiviteter
Forskningsfelt:
Differensialligninger, matematisk fysikk; spesielt hyperbolske konserveringslover og fullstendig integrerbare systemer. Stokastisk analyse og flyt i porøse medier.
Undervisning:
Våren 2013: MA8105 Distribution theory og Sobolev spaces with applications [lenke fra 2011]
Høsten 2013: TMA4305 Partielle differensialligninger
Vitenskapelig, faglig og kunstnerisk arbeid
Et utvalg av nyere tidsskriftspublikasjoner, kunstneriske produksjoner, bok, inklusiv bokdeler og rapport-del. Se alle publikasjoner i databasen
Tidsskriftspublikasjoner
- (2014) On Factorizations of Analytic Operator-Valued Functions and Eigenvalue Multiplicity Questions. Integral equations and operator theory.
- (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) Convergence of a fully discrete finite difference scheme for the Korteweg-de Vries equation. IMA Journal of Numerical Analysis.
- (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).
- (2012) Global Solutions for the Two-Component Camassa-Holm System. Communications in Partial Differential Equations. vol. 37 (12).
- (2012) Abstract wave equations and associated Dirac-type operators. Annali di Matematica Pura ed Applicata. vol. 191 (4).
- (2011) L-infinity SOLUTIONS FOR A MODEL OF NONISOTHERMAL POLYTROPIC GAS FLOW. SIAM Journal on Mathematical Analysis. vol. 43 (5).
- (2011) The damped string problem revisited. Journal of Differential Equations. vol. 251 (4-5).
- (2011) Lipschitz metric for the periodic Camassa-Holm equation. Journal of Differential Equations. vol. 250 (3).
- (2011) OPERATOR SPLITTING FOR THE KdV EQUATION. Mathematics of Computation. vol. 80 (274).
- (2011) Global Semigroup of Conservative Solutions of the Nonlinear Variational Wave Equation. Archive for Rational Mechanics and Analysis. vol. 201 (3).
- (2010) Lipschitz metric for the Hunter-Saxton equation. Journal des Mathématiques Pures et Appliquées. vol. 94 (1).
- (2010) Ground states of the Schrödinger-Maxwell system with Dirac mass: Existence and asymptotics. Discrete and Continuous Dynamical Systems. vol. 27 (1).
- (2010) The algebro-geometric initial value problem for the Ablowitz-Ladik hierarchy. Discrete and Continuous Dynamical Systems. vol. 26 (1).