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Lagrangian blow-ups, blow-downs, and applications to real packing
Lagrangian blow-ups blow-downs applications real packing
2011/1/18
Given a symplectic manifold (M; !) and a Lagrangian submanifold L, we construct versions of the symplectic blow-up and blow-down which are defined relative to L.
In this survey we consider main transmutation theory topics with many applications, including author’s own results. The topics covered are: transmutations for Sturm–Liouville operators,
Vekua–Erdelyi...
On the equivariant implicit function theorem with low regularity and applications to geometric variational problems
equivariant implicit function theorem low regularity and applications variational problems
2010/12/14
We prove an implicit function theorem for functions on infinite dimensional Banach manifolds, invariant under the (local) action of a finite dimensional Lie group. Motivated by some geometric variatio...
Applications of variational analysis to a generalized Fermat-Torricelli problem
Variational analysis and optimization generalized Fermat-Torricelli problem
2010/12/1
In this paper we develop new applications of variational analysis and generalized differ-
entiation to the following optimization problem and its specifications: given n closed subsets of a Banach sp...
Occupation and Local Times for Skew Brownian Motion with Applications to Dispersion Across an Interface
Skew Brownian motion advection-diffusion local time
2010/12/14
Advective skew dispersion is a natural Markov process defined by a diffusion with drift across an interface of jump discontinuity in a piecewise constant diffusion coefficient.