Results 51 to 60 of about 1,422,735 (373)

The Well-posedness of the Null-Timelike Boundary Problem for Quasilinear Waves

, 2011
The null-timelike initial-boundary value problem for a hyperbolic system of equations consists of the evolution of data given on an initial characteristic surface and on a timelike worldtube to produce a solution in the exterior of the worldtube.
Balean R, Bishop N T, Choquet-Bruhat Y, Choquet-Bruhat Y Chruściel P T Martín-García J M, Friedlander F G, Frittelli S, H-O Kreiss, J Winicour, Kreiss H-O, Kreiss H-O, Reisswig C, Winicour J   +11 more
core   +1 more source

Structural dynamics of the plant hormone receptor ETR1 in a native‐like membrane environment

FEBS Letters, EarlyView.
The present study unveils the structural and signaling dynamics of ETR1, a key plant ethylene receptor. Using an optimized nanodisc system and solution NMR, we captured full‐length ETR1 in a native‐like membrane environment. Our findings reveal dynamic domain uncoupling and Cu(I)‐induced rigidification, providing the first evidence of metal‐triggered ...
Moritz Lemke, Nils Alexander Lakomek, Georg Groth   +2 more
wiley   +1 more source

A parabolic differential equation with unbounded piecewise constant delay

International Journal of Mathematics and Mathematical Sciences, 1992
A partial differential equation with the argument [λt] is studied, where [•] denotes the greatest integer function. The infinite delay t−[λt] leads to difference equations of unbounded order.
Joseph Wiener, Lokenath Debnath
doaj   +1 more source

Initial-Boundary Value Problems for Conservation Laws

Journal of Differential Equations, 1996
The paper begins with an analysis of Riemann type problems for systems of hyperbolic conservation laws that arise when considering boundary conditions. These considerations lead naturally to an extension of Glimm's existence theorem to initial boundary value problems.
openaire   +2 more sources

RAD50 missense variants differentially affect the DNA damage response and mitotic progression

FEBS Letters, EarlyView.
RAD50 incorporates into the MRN complex and initiates the DNA damage response. Furthermore, RAD50 promotes mitotic progression. RAD50 missense variants capable of forming an MRN complex supported the DNA damage response and mitotic features to different extents in complementation experiments, indicating these functions are separable and might impact ...
Hanna Redeker, Swantje Kebel, Lea Völkening, Anna Vatselia, Louisa Weinhold, Girmay Asgedom, Axel Schambach, Detlev Schindler, Thilo Dörk, Kristine Bousset   +9 more
wiley   +1 more source

On an Initial-boundary Value Problem Which Arises in the Dynamics of a Compressible Ideal Stratified Fluid

Известия Иркутского государственного университета: Серия "Математика"
In this paper, we investigate the problem on small motions of a compressible ideal stratified fluid in a bounded domain. The problem is studied on the base of approach connected with application of so-called operator matrices theory, as well as abstract ...
D. O. Tsvetkov
doaj   +1 more source

An inverse problem for two-dimensional equations of finding the thermal conductivity of the initial distribution

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2015
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 two-dimensional viscous Boussinesq equations for MHD convection

, 2016
This paper is concerned with the initial boundary value problem for two-dimensional viscous Boussinesq equations for MHD convection. We show that the system has a unique classical solution for $H^3$ initial data, and the non-slip boundary condition for ...
Dongfen Bian
semanticscholar   +1 more source

Molecular imaging predicts trastuzumab‐deruxtecan (T‐DXd) response in head and neck cancer xenograft models

Molecular Oncology, EarlyView.
Trastuzumab‐deruxtecan, a HER2‐targeting antibody‐drug conjugate, shows promising antitumor activity in head and neck squamous cell carcinoma with low HER2 expression. In vitro and in vivo studies demonstrated dose‐dependent cell death and tumor growth reduction in low HER2‐expressing cell lines, which correlated with drug accumulation measured using a
Abdullah Bin Naveed, Lucas Mani, Muhammad Bilal Mirza, Ashtyn McAdoo, Takahito Kondo, Hidenori Tanaka, Nicole Meeks, Eben Rosenthal, Marisa Hom   +8 more
wiley   +1 more source

The initial-boundary-value problem for the 1D nonlinear Schrödinger equation on the half-line [PDF]

Differential and Integral Equations, 2005
We prove, by adapting the method of Colliander-Kenig (9), local well- posedness of the initial-boundary value problem for the one-dimensional nonlinear Schrodinger equation i@tu+@ 2 xu+ u|u| 1 = 0 on the half-line under low boundary regularity ...
Justin Holmer
semanticscholar   +1 more source