Results 91 to 100 of about 85,222 (279)
Uniqueness result for elliptic equations in unbounded domains
Le Matematiche, 1999 Following the stream of ideas in two recent papers ([1], [8]), one can establish a uniqueness result for the Dirichlet problem for a class of elliptic second order differential equations with discontinuous coefficients in unbounded domains of R^n , n ≥ 3.
Paola Cavaliere +2 more
doaj
Attractors for reaction-diffusion equations on arbitrary unbounded domains
, 2007 We prove existence of global attractors for parabolic equations of the form $$u_t+\beta(x)u-\sum_{ij}\partial_i(a_{ij}(x)\partial_j u)=f(x,u)$$ with Dirichlet boundary condition on an arbitrary unbounded domain $\Omega$ in $\R^3$, without smoothness ...
Prizzi, M., Rybakowski, K. P.
core +1 more source
Semilinear elliptic problems in unbounded domains with unbounded boundary
Asymptotic Analysis, 2004 This paper deals with a class of singularly perturbed nonlinear elliptic problems (Pε) with subcritical nonlinearity. The coefficient of the linear part is assumed to concentrate in a point of the domain, as ε→0, and the domain is supposed to be unbounded and with unbounded boundary.
openaire +4 more sources
Advanced Healthcare Materials, EarlyView.ABSTRACT Magnetogenetic deep brain stimulation (MG‐DBS) represents a wireless neuromodulation that has demonstrated long‐lasting behavioral benefits in Parkinson's disease models. However, the circuit‐level mechanisms underlying these therapeutic effects have remained uncharacterized due to limitations of conventional neural interfaces.
Jakyoung Lee +10 more
wiley +1 more source
MathematicsThis study examines partial differential equation models with delay on both unbounded and bounded domains. The mathematical model is reformulated as a system of nonlinear integral equations.
Khalaf M. Alanazi
doaj +1 more source
NULL CONTROLLABILITY FOR THE SEMILINEAR HEAT EQUATION IN UNBOUNDED DOMAINS
Pesquimat, 2014 In this paper, we consider the null controllability problem for the semilinear heat equation in an unbounded domain Ω of RN with Dirichlet boundary conditions.
Silvano Dias Bezerra de Menezes +1 more
doaj +1 more source
On Unbounded Positive *-Representationson Fréchet-Domains
Publications of the Research Institute for Mathematical Sciences, 1994 Let D be a Fréchet-domain from Op*-algebra, abbreviated F-domain. The present paper is concerned with the study of positive *-representations of L +( D ), of the Calkin representation of L
openaire +3 more sources
Advanced Healthcare Materials, EarlyView.A human microfluidic blood‐brain barrier (mBBB) model enables spatially resolved comparison of nanoparticle trafficking. Extracellular vesicles (EVs), liposomes, and nanoplastics exhibit distinct transport and disruption behaviors, revealing that membrane composition and uptake pathways govern BBB interaction.
Bryan B. Nguyen +9 more
wiley +1 more source
An Lp-Estimate for Weak Solutions of Elliptic Equations
Abstract and Applied Analysis, 2012 We prove an Lp-a priori bound, p>2, for solutions of second order linear elliptic partial differential equations in divergence form with discontinuous coefficients in unbounded domains.
Sara Monsurrò, Maria Transirico
doaj +1 more source
Plasmonic Enhancement of Fluorescence and Protein Dynamics in Living Mammalian Cells
Advanced Materials, EarlyView.This study demonstrates plasmonic enhancement of the function of fluorescent voltage sensing proteins (genetically encoded voltage indicators, (GEVIs), QuasAr6) in live mammalian cells. Coupling to plasmonic nanoparticles does not just increase fluorescence, but influences the protein photocycle, creating a hybrid sensor with its response speed to ...
Marco Locarno +16 more
wiley +1 more source