Results 61 to 70 of about 494 (174)
ABSTRACT A formation inversion algorithm with real‐time performance and accuracy is crucial for natural gamma logging while drilling (LWD). However, traditional inversion algorithms are often limited by high computational resource consumption and insufficient accuracy.
Juntao Liu +4 more
wiley +1 more source
Using the critical point theory for convex, lower semicontinuous perturbations of locally Lipschitz functionals, we prove the solvability of the discontinuous Dirichlet problem involving the operator $u\mapsto\mbox{div} \Big(\frac{\nabla u}{\sqrt{1 ...
C. Bereanu +2 more
doaj +1 more source
Macroscopic Market Making Games
ABSTRACT Building on the macroscopic market making framework as a control problem, this paper investigates its extension to stochastic games. In the context of price competition, each agent is benchmarked against the best quote offered by the others. We begin with the linear case.
Ivan Guo, Shijia Jin
wiley +1 more source
Two-parameter nonsmooth grazing bifurcations of limit cycles: classification and open problems [PDF]
This paper proposes a strategy for the classification of codimension-two grazing bifurcations of limit cycles in piecewise smooth systems of ordinary differential equations.
Homer, ME +7 more
core
A Nonsmooth Morse-Sard Theorem for Subanalytic Functions [PDF]
According to the Morse–Sard theorem, any sufficiently smooth function on a Euclidean space remains constant along any arc of critical points. We prove here a theorem of Morse–Sard type suitable as a tool in variational analysis: we broaden the definition
Bolte, Jérôme +5 more
core +1 more source
The Influence of Grain Crushing and Pore Collapse on the Formation of Faults
Abstract During an earthquake, slip occurs in a localized shear zone that features a heavily granulated fault core that can be characterized as a shear band. We study the formation of this fault core in a granular rock such as sandstone by developing a model of crushable granular media within the framework of Breakage Mechanics. This model accounts for
N. A. Collins‐Craft +3 more
wiley +1 more source
General Semi-Infinite Programming: Critical Point Theory [PDF]
We study General Semi-Infinite Programming (GSIP) from a topological point of view. Under the Symmetric Mangasarian-Fromovitz Constraint Qualification (Sym-MFCQ) two basic theorems from Morse theory (deformation theorem and cell-attachment theorem) are ...
Jongen, Hubertus Th. +3 more
core +1 more source
A Tutorial on Optimal Dynamic Treatment Regimes
ABSTRACT A dynamic treatment regime (DTR) is a sequence of treatment decision rules tailored to an individual's evolving status over time. In precision medicine, much focus has been placed on finding an optimal DTR which, if followed by everyone in the population, would yield the best outcome on average; and extensive investigations have been conducted
Chunyu Wang, Brian D. M. Tom
wiley +1 more source
Abstract We study the distortion of intermediate dimension under supercritical Sobolev mappings and also under quasiconformal or quasisymmetric homeomorphisms. In particular, we extend to the setting of intermediate dimensions both the Gehring–Väisälä theorem on dilatation‐dependent quasiconformal distortion of dimension and Kovalev's theorem on the ...
Jonathan M. Fraser, Jeremy T. Tyson
wiley +1 more source
Higher order energy expansions for some singularly perturbed Neumann problems [PDF]
We consider the following singularly perturbed semilinear elliptic problem: \epsilon^{2} \Delta u - u + u^p=0 \ \ \mbox{in} \ \Omega, \quad u>0 \ \ \mbox{in} \ \ \Omega \quad \mbox{and} \ \frac{\partial u}{\partial \nu} =0 \ \mbox{on} \ \partial \
Winter, M +5 more
core +1 more source

