Results 51 to 60 of about 9,689,744 (234)
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
On Well-Posedness of Some Constrained Variational Problems
Mathematics, 2021 By considering the new forms of the notions of lower semicontinuity, pseudomonotonicity, hemicontinuity and monotonicity of the considered scalar multiple integral functional, in this paper we study the well-posedness of a new class of variational ...
Savin Treanţă
doaj +1 more source
On the well-posedness of the vacuum Einstein’s equations [PDF]
Journal of Evolution Equations, 2011 33 ...
openaire +3 more sources
Magnetic Resonance in Medicine, EarlyView.ABSTRACT Purpose To develop SAFE, a self‐calibrated framework to estimate B1+ and B0 field inhomogeneities directly from conventional magnetic resonance fingerprinting (MRF) acquisitions and improve its quantification accuracy. Methods SAFE utilized a two‐step approach. First, two physics‐informed image markers are extracted from the MRF data to create
Mengze Gao +13 more
wiley +1 more source
International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.ABSTRACT This work presents a general framework for deriving the Young–Laplace equation and the Young's equations for an axisymmetric capillary bridge between two parallel plates by minimizing the system's total energy. These Young's equations naturally emerge as boundary conditions associated with the Young–Laplace equation.
Olivier Millet +3 more
wiley +1 more source
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
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
doaj +1 more source
AN INTRODUCTION TO WELL-POSEDNESS AND FREE-EVOLUTION [PDF]
International Journal of Modern Physics A, 2013 These lecture notes accompany two classes given at the NRHEP2 school. In the first lecture I introduce the basic concepts used for analyzing well-posedness, that is the existence of a unique solution depending continuously on given data, of evolution partial differential equations.
openaire +3 more sources
Quarterly Journal of the Royal Meteorological Society, EarlyView.An energy‐conserving discrete framework for the vertical discretisation of stratified ocean models is developed using internal gravity‐wave theory. A β$$ \beta $$‐indexed family of schemes is analysed through perturbation theory, revealing optimal parameter choices and grid designs that reduce truncation errors significantly.
Gabriel Derrida +3 more
wiley +1 more source
Local and global well-posedness for nonlinear Dirac type equations [PDF]
, 2012 We investigate the local and global well-posedness of a variety of nonlinear Dirac type equations with null structure on R1+1. In particular, we prove global existence in L2 for a nonlinear Dirac equation known as the Thirring model. Local existence in
Candy, Timothy Lars
core