Results 51 to 60 of about 1,077,728 (350)
A singularly perturbed semilinear reaction-diffusion problem in a polygonal domain
The semilinear reaction-di®usion equation ¡"24u+b(x; u) = 0 with Dirichlet bound-ary conditions is considered in a convex polygonal domain. The singular perturbation parameter ε is arbitrarily small, and the “reduced equation” b(x, u0 (x)) = 0 may have ...
Kellogg, R. Bruce +3 more
core +1 more source
Rate-Optimal Perturbation Bounds for Singular Subspaces with Applications to High-Dimensional Statistics [PDF]
Perturbation bounds for singular spaces, in particular Wedin's $\sin \Theta$ theorem, are a fundamental tool in many fields including high-dimensional statistics, machine learning, and applied mathematics.
T. Cai, Anru R. Zhang
semanticscholar +1 more source
A Singular Tempered Sub-Diffusion Fractional Equation with Changing-Sign Perturbation
In this paper, we establish some new results on the existence of positive solutions for a singular tempered sub-diffusion fractional equation involving a changing-sign perturbation and a lower-order sub-diffusion term of the unknown function.
Xinguang Zhang +3 more
doaj +1 more source
Singular perturbation for nonlinear boundary-value problems
Asymptotic solutions of a class of nonlinear boundary-value problems are studied. The problem is a model arising in nuclear energy distribution. For large values of the parameter, the differential equations are of the singular-perturbation type and ...
Rina Ling
doaj +1 more source
In this paper, the governing model with the inclusion of parabolic law nonlinearity, weakly non-local nonlinearity in addition to perturbation terms is examined for the sake of uncovering quite important optical soliton solutions.
Anjan Biswas +5 more
doaj +1 more source
Entanglement entropy of singular surfaces under relevant deformations in holography
In the vacuum state of a CFT, the entanglement entropy of singular surfaces contains a logarithmic universal term which is only due to the singularity of the entangling surface.
Mostafa Ghasemi, Shahrokh Parvizi
doaj +1 more source
Rotating Singular Perturbations of the Laplacian [PDF]
Minor changes, to appear in Ann. H.
Correggi Michele +1 more
openaire +5 more sources
Singular perturbation by bending for an adhesive obstacle problem [PDF]
A free boundary problem arising from materials science is studied in the one-dimensional case. The problem studied here is an obstacle problem for the non-convex energy consisting of a bending energy, tension and an adhesion energy. If the bending energy,
Tatsuya Miura
semanticscholar +1 more source
Fluorescent probes allow dynamic visualization of phosphoinositides in living cells (left), whereas mass spectrometry provides high‐sensitivity, isomer‐resolved quantitation (right). Their synergistic use captures complementary aspects of lipid signaling. This review illustrates how these approaches reveal the spatiotemporal regulation and quantitative
Hiroaki Kajiho +3 more
wiley +1 more source
Gut microbiome and aging—A dynamic interplay of microbes, metabolites, and the immune system
Age‐dependent shifts in microbial communities engender shifts in microbial metabolite profiles. These in turn drive shifts in barrier surface permeability of the gut and brain and induce immune activation. When paired with preexisting age‐related chronic inflammation this increases the risk of neuroinflammation and neurodegenerative diseases.
Aaron Mehl, Eran Blacher
wiley +1 more source

