Stability of energy-critical nonlinear Schrodinger equations in high dimensions
We develop the existence, uniqueness, continuity, stability, and scattering theory for energy-critical nonlinear Schrodinger equations in dimensions $n geq 3$, for solutions which have large, but finite, energy and large, but finite, Strichartz norms ...
Terence Tao, Monica Visan
doaj
Adaptive Sliding‐Mode Control of a Perturbed Diffusion Process With Pointwise In‐Domain Actuation
ABSTRACT A sliding mode–based adaptive control law is proposed for a class of diffusion processes featuring a spatially‐varying uncertain diffusivity and equipped with several point‐wise actuators located at the two boundaries of the spatial domain as well as in its interior.
Paul Mayr +3 more
wiley +1 more source
Singularity formation and global Well-posedness for the generalized Constantin–Lax–Majda equation with dissipation [PDF]
We study a generalization due to De Gregorio and Wunsch et al of the Constantin–Lax–Majda equation (gCLM) on the real line where H is the Hilbert transform and .
Jiajie Chen
semanticscholar +1 more source
3D Character Reconstruction from Hand‐drawn Model Sheets
Abstract Hand‐drawn model sheets are widely used in character design to define 3D shape and appearance through sparse multi‐view drawings. Reconstructing 3D characters from such sparse inputs has traditionally been challenging due to insufficient visual information.
Hyejeong Yoon +3 more
wiley +1 more source
Well-posedness of boundary control systems [PDF]
The authors study the continuity of the input/output map for boundary control systems through the system transfer function transporting the continuity to uniform boundedness of the solution to a related elliptic boundary value problem. The approach is used to obtain well-posedness of several large classes of boundary control systems.
Cheng, Ada, Morris, Kirsten
openaire +3 more sources
Specification Tests for Jump‐Diffusion Models Based on the Characteristic Function
Summary Goodness‐of‐fit tests are suggested for several popular jump‐diffusion processes. The suggested test statistics utilise the marginal characteristic function of the model and its L2‐type discrepancy from an empirical counterpart. Model parameters are estimated either by minimising the aforementioned L2‐type discrepancy or by maximum likelihood ...
Gerrit Lodewicus Grobler +3 more
wiley +1 more source
Remark on well-posedness and ill-posedness for the KdV equation
We consider the Cauchy problem for the KdV equation with low regularity initial data given in the space $H^{s,a}(mathbb{R})$, which is defined by the norm $$ | varphi |_{H^{s,a}}=| langle xi angle^{s-a} |xi|^a widehat{varphi} |_{L_{xi}^2}.
Takamori Kato
doaj
Well-Posedness of MultiCriteria Network Equilibrium Problem
New notions of ϵ-equilibrium flow and ξk0-ϵ-equilibrium flow of multicriteria network equilibrium problem are introduced; an equivalent relation between vector ϵ-equilibrium pattern flow and ξk0-ϵ-equilibrium flow is established. Then, the well-posedness
W. Y. Zhang
doaj +1 more source
On well-posedness for the inhomogeneous nonlinear Schrödinger equation in the critical case [PDF]
In this paper we study the well-posedness for the inhomogeneous nonlinear Schrodinger equation $i\partial_{t}u+\Delta u=\lambda|x|^{-\alpha}|u|^{\beta}u$ in Sobolev spaces $H^s$, $s\geq0$.
Jungkwon Kim, Yoonjung Lee, Ihyeok Seo
semanticscholar +1 more source
Measure‐valued processes for energy markets
Abstract We introduce a framework that allows to employ (non‐negative) measure‐valued processes for energy market modeling, in particular for electricity and gas futures. Interpreting the process' spatial structure as time to maturity, we show how the Heath–Jarrow–Morton approach can be translated to this framework, thus guaranteeing arbitrage free ...
Christa Cuchiero +3 more
wiley +1 more source

