Results 51 to 60 of about 345,470 (293)

On quasilinear parabolic evolution equations in weighted Lp-spaces II [PDF]

, 2013
Our study of abstract quasi-linear parabolic problems in time-weighted L_p-spaces, begun in [17], is extended in this paper to include singular lower order terms, while keeping low initial regularity.
D. Bothe, J. Prüss, Jan Prüss, Jeremy LeCrone, M. Meyries, M. Meyries, Mathias Wilke   +6 more
core   +3 more sources

Methylation biomarkers can distinguish pleural mesothelioma from healthy pleura and other pleural pathologies

Molecular Oncology, EarlyView.
We developed and validated a DNA methylation–based biomarker panel to distinguish pleural mesothelioma from other pleural conditions. Using the IMPRESS technology, we translated this panel into a clinically applicable assay. The resulting two classifier models demonstrated excellent performance, achieving high AUC values and strong diagnostic accuracy.
Janah Vandenhoeck, Nele De Meulenaere, Thomas Vanpoucke, Joe Ibrahim, Dieter Peeters, Suresh Krishan Yogeswaran, Wen Wen, Paul Van Schil, Jeroen M. H. Hendriks, Jo Raskin, Jan van Meerbeeck, Guy Van Camp, Ken Op de Beeck   +12 more
wiley   +1 more source

Analytic auxiliary mass flow to compute master integrals in singular kinematics

Journal of High Energy Physics
The computation of master integrals from their differential equations requires boundary values to be supplied by an independent method. These boundary values are often desired at singular kinematical points.
Gaia Fontana, Thomas Gehrmann, Kay Schönwald   +2 more
doaj   +1 more source

Singular solutions of fully nonlinear elliptic equations and applications

, 2011
We study the properties of solutions of fully nonlinear, positively homogeneous elliptic equations near boundary points of Lipschitz domains at which the solution may be singular. We show that these equations have two positive solutions in each cone of $\
A. Ancona, A. Friedman, A. Quaas, A. Vitolo, A. Świech, B. Sirakov, Boyan Sirakov, Charles K. Smart, D. Gilbarg, D.A. Labutin, E. Hopf, E.R. Jakobsen, F. Punzo, H. Berestycki, H. Ishii, I. Capuzzo Dolcetta, J. Serrin, J.T. Kemper, K. Miller, K.-C. Chang, L.A. Caffarelli, L.A. Caffarelli, M. Borsuk, M.E. Amendola, M.G. Crandall, N. Winter, N.V. Krylov, P. Bauman, P.H. Rabinowitz, R. Jensen, S. Koike, S.N. Armstrong, S.N. Armstrong, Scott N. Armstrong, Y Pinchover   +34 more
core   +1 more source

Boundary integral equation methods for the elastic and thermoelastic waves in three dimensions [PDF]

, 2019
In this paper, we consider the boundary integral equation (BIE) method for solving the exterior Neumann boundary value problems of elastic and thermoelastic waves in three dimensions based on the Fredholm integral equations of the first kind.
Bao, Gang, Xu, Liwei, Yin, Tao
core   +3 more sources

Transcriptional network analysis of PTEN‐protein‐deficient prostate tumors reveals robust stromal reprogramming and signs of senescent paracrine communication

Molecular Oncology, EarlyView.
Combining PTEN protein assessment and transcriptomic profiling of prostate tumors, we uncovered a network enriched in senescence and extracellular matrix (ECM) programs associated with PTEN loss and conserved in a mouse model. We show that PTEN‐deficient cells trigger paracrine remodeling of the surrounding stroma and this information could help ...
Ivana Rondon‐Lorefice, Jose I. Lopez, Aitziber Ugalde‐Olano, Maite Zufiaurre, Ianire Astobiza, Natalia Martin‐Martin, Laura Bozal‐Basterra, Saioa Garcia‐Longarte, Amaia Zabala‐Letona, Sofia Rey, Aida Santos‐Martin, Miguel Unda, Ana Loizaga‐Iriarte, Mariona Graupera, Paolo Nuciforo, Arkaitz Carracedo, Isabel Mendizabal   +16 more
wiley   +1 more source

Integrability of the limit model for a vacuum diode and a solution to the singular boundary-value problem

Electronic Journal of Differential Equations, 2016
This article concerns singular boundary-value problems for a vacuum diode model. We prove the integrability of a system of nonlinear differential equations and construct a complete system of the first integrals; thus developing a method for solving ...
Alexander A. Kosov, Edward I. Semenov, Alexander V. Sinitsyn   +2 more
doaj  

A higher-order method for nonlinear singular two-point boundary value problems

International Journal of Mathematics and Mathematical Sciences, 2002
We present a finite difference method for a general class of nonlinear singular two-point boundary value problems. The order of convergence of the method for such a general class of problems is higher than the previous reported methods. The method yields
K. M. Furati, M. A. El-Gebeily
doaj   +1 more source

A local target specific quadrature by expansion method for evaluation of layer potentials in 3D

, 2018
Accurate evaluation of layer potentials is crucial when boundary integral equation methods are used to solve partial differential equations. Quadrature by expansion (QBX) is a recently introduced method that can offer high accuracy for singular and ...
Siegel, Michael, Tornberg, Anna-Karin
core   +1 more source

An Integral Equation Method for the Cahn-Hilliard Equation in the Wetting Problem

, 2020
We present an integral equation approach to solving the Cahn-Hilliard equation equipped with boundary conditions that model solid surfaces with prescribed Young's angles. The discretization of the system in time using convex splitting leads to a modified
Jiang, Shidong, Kloeckner, Andreas, Wang, Xiao-Ping, Wei, Xiaoyu   +3 more
core   +1 more source