Thomas Strömberg
Associate Professor
Luleå University of Technology
Luleå University of Technology
Applied Mathematics
Mathematical Sciences
Department of Engineering Sciences and Mathematics
Research
My field of research is variational analysis and viscosity solutions of nonlinear partial differential equations. Particular interest is devoted to the Hamilton-Jacobi equation, which plays a key role in the calculus of variations and optimal control theory.
Publications
Article in journal
Propagation of singularities of Moreau envelopes and distance functions in a Hilbert space (2022)
Mathematische Annalen
Article in journal
A new proof of indefinite propagation of singularities for a Hamilton-Jacobi equation (2016)
Journal of evolution equations (Printed ed.), Vol. 16, nr. 4, s. 895-903
Article in journal
Excess action and broken characteristics for Hamilton-Jacobi equations (2014)
Nonlinear Analysis, Vol. 110, s. 113-129
Article in journal
Multivariate process parameter change identification by neural network (2013)
The International Journal of Advanced Manufacturing Technology, Vol. 69, nr. 9-12, s. 2261-2268
Article in journal
Propagation of singularities along broken characteristics (2013)
Nonlinear Analysis, Vol. 85, s. 93-109
Article in journal
A counterexample to uniqueness of generalized characteristics in Hamilton-Jacobi theory (2011)
Nonlinear Analysis, Vol. 74, nr. 7, s. 2758-2762
Article in journal
A system of the Hamilton-Jacobi and the continuity equations in the vanishing viscosity limit (2011)
Communications on Pure and Applied Analysis, Vol. 10, nr. 2, s. 479-506
Article in journal
Duality between Frechet differentiability and strong convexity (2011)
Positivity (Dordrecht), Vol. 15, nr. 3, s. 527-536
Article in journal
On shock generation for Hamilton-Jacobi equations (2011)
Indagationes mathematicae, Vol. 20, 2009, nr. 4, s. 619-629
Article in journal
On a viscous Hamilton-Jacobi equation with an unbounded potential term (2010)
Nonlinear Analysis, Vol. 73, nr. 6, s. 1802-1811