Results 51 to 60 of about 59,874 (192)
Stability of energy-critical nonlinear Schrodinger equations in high dimensions
Electronic Journal of Differential Equations, 2005 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
Abstract and Applied Analysis, 2014 The purpose of this paper is introduce several types of Levitin-Polyak well-posedness for bilevel vector equilibrium and optimization problems with equilibrium constraints.
Phan Quoc Khanh +2 more
doaj +1 more source
Local Well-Posedness for Relaxational Fluid Vesicle Dynamics
, 2018 We prove the local well-posedness of a basic model for relaxational fluid vesicle dynamics by a contraction mapping argument.
Köhne, Matthias, Lengeler, Daniel
core +1 more source
Nonlocal Mechanical Metamaterials Enabling Soliton Mode Conversion
Small Structures, EarlyView.A mechanical metamaterial (MM) system with nonlocal interactions is presented, where elastic (nontopological) solitons encountering a boundary defect undergo mode conversion and generate backward‐propagating topological solitons. This finding reveals a new mechanism for soliton dynamics in nonlocal systems, offering insights into energy transport, wave
Liang Bai +4 more
wiley +1 more source
, 2007 We study the well-posedness of the initial value problem for a wide class of singular evolution equations. We prove a general well-posedness theorem under three assumptions easy to check: the first controls the singular part of the equation, the second ...
Alvarez-Samaniego, Borys, Lannes, David
core +3 more sources
Signal‐to‐noise and spatial resolution in in‐line imaging. 2. Phase‐contrast tomography
Journal of Synchrotron Radiation, EarlyView.A biomedical X‐ray imaging quality characteristic, suitable for quantitative assessment of X‐ray images of biological samples, is introduced and then applied to analysis of propagation‐based X‐ray phase‐contrast computed tomography images of mastectomy samples.In the first part of this paper, quantitative aspects of propagation‐based phase‐contrast ...
Timur E. Gureyev +4 more
wiley +1 more source
Well-posedness of stochastic modified Kawahara equation
Advances in Difference Equations, 2020 In this paper we consider the Cauchy problem for the stochastic modified Kawahara equation, which is a fifth-order shallow water wave equation. We prove local well-posedness for data in Hs(R) $H^{s}(\mathbb{R})$, s≥−1/4 $s\geq -1/4$. Moreover, we get the
P. Agarwal, Abd-Allah Hyder, M. Zakarya
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Measure‐valued processes for energy markets
Mathematical Finance, Volume 35, Issue 2, Page 520-566, April 2025.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
Well-Posedness by Perturbations of Generalized Mixed Variational Inequalities in Banach Spaces
Journal of Applied Mathematics, 2012 We consider an extension of the notion of well-posedness by perturbations, introduced by Zolezzi (1995, 1996) for a minimization problem, to a class of generalized mixed variational inequalities in Banach spaces, which includes as a special case the ...
Lu-Chuan Ceng, Ching-Feng Wen
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Macroscopic Market Making Games
Mathematical Finance, EarlyView.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