Results 41 to 50 of about 260,310 (201)
Inverse problems for semilinear elliptic PDE with a general nonlinearity a(x,u)$a(x,u)$
Abstract This article studies the inverse problem of recovering a nonlinearity in an elliptic equation Δu+a(x,u)=0$\Delta u + a(x,u) = 0$ from boundary measurements of solutions. Previous results based on first‐order linearization achieve this under a sign condition on ∂ua(x,u)$\partial _u a(x,u)$, and results based on higher order linearization ...
David Johansson +2 more
wiley +1 more source
A non-linear differential equation and a Fredholm determinant
In several branches of mathematical physics one comes across the Fredholm determinant of the kernel $\sin (x-y)\pi/(x-y)\pi$ on the finite interval ($-t,t$). Jimbo, Miwa, Mori and Sato derived a non-linear differential equation for it.
M.L. Mehta
core +1 more source
Replica Bethe Ansatz solution to the Kardar-Parisi-Zhang equation on the half-line
We consider the Kardar-Parisi-Zhang (KPZ) equation for the stochastic growth of an interface of height $h(x,t)$ on the positive half line with boundary condition $\partial_x h(x,t)|_{x=0}=A$.
Alexandre Krajenbrink, Pierre Le Doussal
doaj +1 more source
Exact WKB methods in SU(2) Nf = 1
We study in detail the Schrödinger equation corresponding to the four dimensional SU(2) N $$ \mathcal{N} $$ = 2 SQCD theory with one flavour. We calculate the Voros symbols, or quantum periods, in four different ways: Borel summation of the WKB series ...
Alba Grassi, Qianyu Hao, Andrew Neitzke
doaj +1 more source
ABSTRACT A previous genome‐wide association study identified regions on canine chromosome (cfa) 13 and 14 associated with early onset myxomatous mitral valve disease (MMVD) in Cavalier King Charles Spaniels (CKCS). In the present study, whole genome sequencing (WGS) of 9 CKCS cases (mitral regurgitation (MR) before 4.5 years or congestive heart failure
Lisbeth Høier Olsen +12 more
wiley +1 more source
Strong coupling expansion in 𝒩 = 2 superconformal theories and the Bessel kernel
We consider strong ’t Hooft coupling expansion in special four-dimensional 𝒩 = 2 superconformal models that are planar-equivalent to 𝒩 = 4 super Yang-Mills theory.
M. Beccaria +2 more
doaj +1 more source
Note on the Fredholm determinant [PDF]
n ...
openaire +3 more sources
Analysis of Eigenvalue Clustering Leads to Optimal Scaling in Numerical Radiative Transfer
ABSTRACT We consider a multidimensional polychromatic radiative transfer (RT) problem, accounting for scattering processes in a general form, that is, anisotropic (dipole) scattering with partial frequency redistribution. Given a discrete ordinates (SN$$ {S}_N $$) discretization, we report the corresponding matrix structures, depending on the model and
Pietro Benedusi +3 more
wiley +1 more source
Painlevé tau-functions and Fredholm determinants [PDF]
It is now known that the tau-functions associated to the generic solutions of the Painlevé equations III, V, VI can be expressed as a Fredholm determinants. The minor expansion of these determinants provide an interesting connection to random partitions.
Desiraju, Harini
core
Complex eigenvalue instantons and the Fredholm determinant expansion in the Gross-Witten-Wadia model
We study the leading nonperturbative corrections to the strong-coupling (ungapped) phase of the Gross-Witten-Wadia (GWW) integral over unitary matrices, to one-loop order.
Dan Stefan Eniceicu +2 more
doaj +1 more source

