Results 51 to 60 of about 6,568 (311)
Singular multiple integrals and nonlinear potentials [PDF]
, 2023 We derive sharp partial regularity criteria of nonlinear potential theoretic nature for the Lebesgue-Serrin-Marcellini extension of nonhomogeneous singular multiple integrals featuring (p, q)-growth ...
Cristiana De Filippis +3 more
core +1 more source
Singular Volterra integral equations
Applied Mathematics Letters, 2000 The authors study the existence of a nonnegative solution to the Volterra integral equation \[ y(t) = h(t)+ \int_0^t k(t,s)f(s,y(s)) ds,\quad t\in [0,T], \] where the nonlinearity \(f(t,y)\) may be singular at \(y=0\). The assumptions used are such that they easily get a result on the existence of a solution of the singular initial value problem \(y ...
Agarwal, R.P., O'Regan, D.
openaire +1 more source
Tumour–host interactions in Drosophila: mechanisms in the tumour micro‐ and macroenvironment
Molecular Oncology, EarlyView.This review examines how tumour–host crosstalk takes place at multiple levels of biological organisation, from local cell competition and immune crosstalk to organism‐wide metabolic and physiological collapse. Here, we integrate findings from Drosophila melanogaster studies that reveal conserved mechanisms through which tumours hijack host systems to ...
José Teles‐Reis, Tor Erik Rusten
wiley +1 more source
Transformations for evaluating singular boundary element integrals
, 2002 Accurate numerical integration of line integrals is of fundamental importance for the reliable implementation of the boundary element method. Usually, the regular integrals arising from a boundary element method implementation are evaluated using ...
Johnston, Peter R. +4 more
core +2 more sources
New algorithms for approximating oscillatory Bessel integrals with Cauchy-type singularities
Results in Applied MathematicsIn this paper, we present an efficient numerical algorithm for approximating integrals involving highly oscillatory Bessel functions with Cauchy-type singularities.
Qinghua Wu, Mengjun Sun
doaj +1 more source
On Weighted Hadamard-Type Singular Integrals and Their Applications
Abstract and Applied Analysis, 2007 By means of an expression with a kind of integral operators, some properties of the weighted Hadamard-type singular integrals are revealed. As applications, the solution for certain strongly singular integral equations is discussed and illustrated.
Yong Jia Xu
doaj +1 more source
Singularities of Feynman integrals
The European Physical Journal Special TopicsJournal ...
Tanay Pathak, Ramesh Sreekantan
openaire +2 more sources
Molecular Oncology, EarlyView.Beyond its role in immune evasion, this study identified that CD47 drives tumor‐intrinsic signaling in non‐small cell lung cancer (NSCLC). Transcriptomic profiling and functional studies revealed that CD47 regulates cell adhesion, migration, and metastasis through an ERK–EMT signaling axis.
Asa P.Y. Lau +8 more
wiley +1 more source
Analogue Sochocky formulae for integral operators with additional logarithmic singularity
Журнал Белорусского государственного университета: Математика, информатика, 2018 In this paper we prove the limit formulas for singular integrals of the form. Limit values of such integrals are expressed in terms of singular integral operators and also integral operators.
Vitold V. Kashevski
doaj
Singular Bilinear Integrals in Quantum Physics
Mathematics, 2015 Bilinear integrals of operator-valued functions with respect to spectral measures and integrals of scalar functions with respect to the product of two spectral measures arise in many problems in scattering theory and spectral analysis. Unfortunately, the
Brian Jefferies
doaj +1 more source