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PRINCIPAL CURVATURE ESTIMATES FOR THE CONVEX LEVEL SETS OF SEMILINEAR ELLIPTIC EQUATIONS
PRINCIPAL CURVATURE ESTIMATES THE CONVEX LEVEL SETS SEMILINEAR ELLIPTIC EQUATIONS
2014/4/3
We give a positive lower bound for the principal curvature of the strict convex level sets of harmonic functions in terms of the principal curvature of the domain boundary and the norm of the boundary...
The finite cardinalities of level sets of the Takagi function
Takagi function Nowhere-differentiable function Level set Self-similarity Takagi expansion
2011/8/25
Abstract: Let T be Takagi's continuous but nowhere-differentiable function. It is known that almost all level sets (with respect to Lebesgue measure on the range of T) are finite. We show that the mos...
We consider a class of sparsity-inducing regularization terms based on submodular functions. While earlier work has focused on non-decreasing functions, we explore symmetric submodular functions and t...
Level Sets of the Takagi Function: Local Level Sets
Level Sets Takagi Function Local Level Sets
2010/11/30
The Takagi function : [0; 1] ! [0; 1] is a continuous non-di erentiable functio constructed
by Takagi in 1903. This paper studies the level sets L(y) = fx : (x) = yg of the Takagi
function (x)...
Level Sets of the Takagi Function: Generic Level Sets
the Takagi Function Generic Level Sets
2010/11/19
The Takagi function \tau : [0, 1] \to [0, 1] is a continuous non-differentiable function constructed by Takagi in 1903. This paper studies the level sets L(y) = {x : \tau (x) = y} of the Takagi funct...
Completely integrable Hamiltonian systems with weak Lyapunov instability or all periodic orbits on non-compact level sets
Completely integrable Hamiltonian system weak Lyapunov instability or all periodic orbits non-compact level sets
2010/12/1
The aim of this paper is to introduce a class of Hamiltonian autonomous systems in dimension 4 which are completely integrable and their dynamics is described in all details.
The dimensions of the level sets of the generalized iterated Brownian motion
Hausdorff dimension packing dimension level set local time
2010/9/13
The dimensions of the level sets of the generalized iterated Brownian motion.