Results 41 to 50 of about 1,212,620 (281)
The inverse problem of finding the initial distribution has been studied on the basis of formulas for the solution of the first initial-boundary value problem for the inhomogeneous two-dimentional heat equation. The uniqueness of the solution of the direct
Artur R Zaynullov
doaj +1 more source
Initial boundary value problem for generalized Zakharov equations [PDF]
The authors consider the following generalized Zakharov system \[ \begin{cases} iE_t + \Delta E - H^2\Delta ^2E - nE &= 0 \\ n_{tt} - \Delta n + H^2\Delta ^2n - \Delta | E| ^2 &= 0, \end{cases} \] where \(H\) is a dimensionless parameter, \(E\: \mathbb {R}^{+}\times \Omega \to \mathbb {C}^2\) and \(n\: \mathbb {R}^{+}\times \Omega \to \mathbb {R ...
Shujun You, Boling Guo, Xiaoqi Ning
openaire +2 more sources
ABSTRACT Background Accessing brain magnetic resonance imaging (MRI) can be challenging, especially for underserved patients, which may lead to disparities in neurological diagnosis. Method This mixed‐methods study enrolled adults with one of four neurological disorders: mild cognitive impairment or dementia of the Alzheimer type, multiple sclerosis ...
Maya L. Mastick +19 more
wiley +1 more source
Smoothness of solutions of conjugate boundary-value problems on a measure chain
In this paper we consider the n-th order $Delta$-differential equation (often refered to as a differential equation on a measure chain) $$u^{Delta_n}(t) = f(t, u(sigma(t)),dots, u^{Delta_{n-1}}(sigma(t)))$$ satisfying n-point conjugate boundary ...
Eric R. Kaufmann
doaj
The mathematical theory of constructing an integral transformation and the inversion formula for it for the third boundary value problem in a domain with a continuous spectrum of eigenvalues are developed.
E. M. Kartashov
doaj +1 more source
FDG‐PET Associations With Disease Severity and Outcomes in NMDA‐Receptor IgG Autoimmune Encephalitis
ABSTRACT Background Patients with N‐methyl‐D‐aspartate (NMDA) receptor‐immunoglobulin G (IgG) autoimmune encephalitis (NMDAR‐IgG AE) demonstrate occipital lobe hypometabolism on baseline brain fluorodeoxyglucose‐positron emission tomography (bFDG‐PET).
Jonathan K. Lee +7 more
wiley +1 more source
Baltic sea deep salinity: an initial and boundary value problem
The Baltic Sea salinity is modelled using a two-box model. The simplistic approach allows for very long integrations where a large part of the phase space of the model can be probed. Particular emphasis is put on the salinity dynamics in the deeper parts
Magnus Hieronymus
doaj +1 more source
On an initial-boundary value problem for the nonlinear Schrödinger equation
We study an initial-boundary value problem for the nonlinear Schrödinger equation, a simple mathematical model for the interaction between electromagnetic waves and a plasma layer.
Herbert Gajewski
doaj +1 more source
ABSTRACT Objective Isolated rapid eye movement sleep behavior disorder (iRBD) is a prodromal state for Lewy body disorders and exhibits biological heterogeneity that may influence clinical expression and progression. We examined clinical features in individuals with iRBD and biomarker‐defined synucleinopathy.
Daniel Weintraub +24 more
wiley +1 more source
Dissipative initial boundary value problem for the BBM-equation
This paper concerns a dissipative initial boundary value problem for the Benjamin-Bona-Mahony (BBM) equation. We prove the existence and uniqueness of global solutions and the decay of the energy as time tends to infinity.
Mikhail P. Vishnevskii +1 more
doaj

