We consider strongly elliptic differential-difference equations with mixed boundary conditions in a cylindrical domain. We establish the connection between such problems and nonlocal mixed problems for strongly elliptic differential equations, and prove ...
V. V. Liiko, A. L. Skubachevskii
doaj +1 more source
Analysis of direct segregated boundary-domain integral equations for variable-coefficient mixed bvps in exterior domains [PDF]
This is the post-print version of the Article. The official published version can be accessed from the link below - Copyright @ 2013 World Scientific Publishing.Direct segregated systems of boundary-domain integral equations are formulated for the mixed (
Mikhailov, SE +2 more
core +1 more source
Hölder Regularity of Solutions to Second-Order Elliptic Equations in Nonsmooth Domains
We establish the global Hölder estimates for solutions to second-order elliptic equations, which vanish on the boundary, while the right-hand side is allowed to be unbounded.
Sungwon Cho, Mikhail Safonov
doaj +1 more source
Metric Based Upscaling for Partial Differential Equations with a Continuum of Scales [PDF]
Numerical upscaling of problems with multiple scale structures have attracted increasing attention in recent years. In particular, problems with non-separable scales pose a great challenge to mathematical analysis and simulation.
Zhang, Lei
core +1 more source
Molecular characterization of covRS mutations in M1UK Streptococcus pyogenes
Group A Streptococcus (GAS) acquires covRS mutations driving a hypervirulent bacterial state, frequently associated with invasive disease‐like necrotizing fasciitis. We demonstrate that the newly emerged M1UK GAS lineage can also acquire these mutations.
Jarrad Pritchard +12 more
wiley +1 more source
Optimizing photoexcitation conditions for time‐resolved X‐ray solution scattering experiments
Time‐resolved X‐ray solution scattering (TR‐XSS) is a powerful technique to visualize how proteins change their structure in real time after light activation. Selecting the right laser photoexcitation conditions—fluence, excitation geometry, and sample refresh rate—is critical to maximize the experimental signal while avoiding unwanted side effects ...
Matteo Levantino
wiley +1 more source
Regularity results for nonlocal fully nonlinear elliptic equations [PDF]
Rang M. Regularity results for nonlocal fully nonlinear elliptic equations. Bielefeld: Universitätsbibliothek; 2013.In this thesis we consider nonlocal fully nonlinear elliptic operators derived from a certain class of linear integro-differential ...
Rang, Marcus
core +1 more source
Existence Results for Quasilinear Degenerated Equations vias Strong Convergence of Truncations [PDF]
In this paper, we study the existence of entropy solution for quasilinear elliptic equations of the form, is a non-linear term which has a growth condition with respect to ξ and no growth with respect to s, but it satisfies a sign condition on s.
J Electronic +3 more
core
ABSTRACT Background Collaterals are crucial factors that influence the infarct growth rate (IGR). We aimed to determine whether a comprehensive multimodal collateral score (MCS), incorporating collateral assessment at the arterial, tissue, and venous levels, is associated with functional independence and provides incremental prognostic value over ...
Giorgio Busto +12 more
wiley +1 more source
Multi-dimensional Morse Index Theorems and a symplectic view of elliptic boundary value problems [PDF]
Morse Index Theorems for elliptic boundary value problems in multi-dimensions are proved under various boundary conditions. The theorems work for star-shaped domains and are based on a new idea of measuring the "oscillation" of the trace of the set of ...
Deng, Jian +1 more
core +1 more source

