Results 11 to 20 of about 9,585 (266)

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

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

Weighted Bergman Kernels for Logarithmic Weights [PDF]

open access: yesPure and Applied Mathematics Quarterly, 2010
We describe the boundary singularity of weighted Bergman kernels on smoothly bounded strictly pseudoconvex domains for weights which behave, roughly speaking, likely formal power series in defining function with coefficients which are polynomials in the logarithm of defining function.
openaire   +2 more sources

An inequality for a quadratic functional

open access: yesVietnam Journal of Mechanics, 2009
An inequality is proved for a quadratic functional with the logarithmic kernel. The best constant of this inequality and the corresponding function for which the equality holds are found precisely.
Le Khanh Chau
doaj   +1 more source

Logarithmic correction to black hole entropy in universal low-energy string theory models

open access: yesJournal of High Energy Physics, 2023
We calculate the logarithmic correction to the entropy of asymptotically flat and AdS black holes (rotating, non-rotating, charged, and uncharged) embedded in Einstein-Maxwell-dilaton (EMD) theories with U(1)-charged.
Sudip Karan, Gurmeet Singh Punia
doaj   +1 more source

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