Results 11 to 20 of about 102,837 (286)

An Algorithm for the Solution of Nonlinear Volterra–Fredholm Integral Equations with a Singular Kernel

open access: yesFractal and Fractional, 2023
The nonlinear Volterra–Fredholm integral Equation (NVFIE) with a singular kernel is discussed such that the kernel of position can take the Hilbert kernel form, Carleman function, logarithmic form, or Cauchy kernel. Using the quadrature method, the NVFIE
Sahar M. Abusalim   +3 more
doaj   +1 more source

Logarithmic correction to the entropy of extremal black holes in N $$ \mathcal{N} $$ = 1 Einstein-Maxwell supergravity

open access: yesJournal of High Energy Physics, 2021
We study one-loop covariant effective action of “non-minimally coupled” N $$ \mathcal{N} $$ = 1, d = 4 Einstein-Maxwell supergravity theory by heat kernel tool.
Gourav Banerjee   +2 more
doaj   +1 more source

On Inner Expansions for a Singularly Perturbed Cauchy Problem with Confluent Fuchsian Singularities

open access: yesMathematics, 2020
A nonlinear singularly perturbed Cauchy problem with confluent Fuchsian singularities is examined. This problem involves coefficients with polynomial dependence in time.
Stephane Malek
doaj   +1 more source

Logarithmic Bergman Kernel and Conditional Expectation of Gaussian Holomorphic Fields [PDF]

open access: yesThe Journal of Geometric Analysis, 2021
We prove the asymptotic of the logarithmic Bergman kernel. And as an application, we calculate the conditional expectation of density of zeros of Gaussian random sections of powers of a positive line bundle that vanish along a fixed smooth subvariety.
openaire   +2 more sources

Blow-Up for a Stochastic Viscoelastic Lamé Equation with Logarithmic Nonlinearity

open access: yesJournal of Function Spaces, 2021
In this paper, we consider an initial boundary value problem of stochastic viscoelastic wave equation with nonlinear damping and logarithmic nonlinear source terms. We proved a blow-up result for the solution with decreasing kernel.
Amina Benramdane   +4 more
doaj   +1 more source

An Asymptotic Model for Solving Mixed Integral Equation in Position and Time

open access: yesJournal of Mathematics, 2022
In this paper, we considered a mixed integral equation (MIE) of the second kind in the space L2−b,b×C0,T ...
A. R. Jan
doaj   +1 more source

On Solvability of the Sonin–Abel Equation in the Weighted Lebesgue Space

open access: yesFractal and Fractional, 2021
In this paper we present a method of studying a convolution operator under the Sonin conditions imposed on the kernel. The particular case of the Sonin kernel is a kernel of the fractional integral Riemman–Liouville operator, other various types of the ...
Maksim V. Kukushkin
doaj   +1 more source

Logarithmic extensions of minimal models: characters and modular transformations [PDF]

open access: yes, 2006
We study logarithmic conformal field models that extend the (p,q) Virasoro minimal models. For coprime positive integers $p$ and $q$, the model is defined as the kernel of the two minimal-model screening operators.
A.M. Gainutdinov   +52 more
core   +5 more sources

Optimal heat kernel bounds under logarithmic Sobolev inequalities [PDF]

open access: yesESAIM: Probability and Statistics, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bakry, D., Concordet, D., Ledoux, M.
openaire   +2 more sources

Galois theory, functional Lindemann-Weierstrass, and Manin maps [PDF]

open access: yes, 2015
We prove several new results of Ax-Lindemann type for semiabelian varieties over the algebraic closure K of C(t), making heavy use of the Galois theory of logarithmic differential equations.
Bertrand, Daniel, Pillay, Anand
core   +3 more sources

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