Results 51 to 60 of about 1,716 (184)

Sharp commutator estimates of all order for Coulomb and Riesz modulated energies

Communications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 207-292, February 2026.
Abstract We prove functional inequalities in any dimension controlling the iterated derivatives along a transport of the Coulomb or super‐Coulomb Riesz modulated energy in terms of the modulated energy itself. This modulated energy was introduced by the second author and collaborators in the study of mean‐field limits and statistical mechanics of ...
Matthew Rosenzweig, Sylvia Serfaty
wiley   +1 more source

Dynamic Debt With Intensity‐Based Models

Journal of Futures Markets, Volume 46, Issue 2, Page 334-352, February 2026.
ABSTRACT This article proposes a dynamic debt model where the face value of debt can change. In particular, our dynamic debt setting allows debt changes ruled by intensity processes that are linked to the firm value through the correlation between the stochastic processes. Analytical solutions are obtained, and we extend the proposed dynamic debt model
João Miguel Reis, José Carlos Dias
wiley   +1 more source

Heat and Laplace type equations with complex spatial variables in weighted Fock spaces

Electronic Journal of Differential Equations, 2020
In a recent book co-authored by the authors of this article, we studied by semigroup theory methods several classical evolution equations, including the heat and Laplace equations, with real time variable and complex spatial variable, under the ...
Ciprian G. Gal, Sorin G. Gal
doaj  

Fubini Type Theorems for the BV Integral

Real Analysis Exchange, 2008
The R-integral (also known as the BV integral) is introduced by \textit{W. F. Pfeffer} [Indiana Univ. Math. J. 40, No. 1, 259--270 (1991; Zbl 0747.26010)]. It is an extension of the Lebesgue integral, however, the Fubini theorem is false for the R-integral. So it is interesting to consider the following problems: 1.
Sinha, V., Rana, Inder K.
openaire   +3 more sources

Limit Orders and Knightian Uncertainty

International Economic Review, Volume 67, Issue 1, Page 353-363, February 2026.
ABSTRACT A wide variety of financial instruments allows risk‐averse traders to reduce their exposure to risk. This raises the question of what financial instruments allow ambiguity‐averse traders to reduce their exposure to ambiguity. We show in this paper that price‐contingent orders, such as limit orders, are sufficient: In a two‐period trading model,
Michael Greinecker, Christoph Kuzmics
wiley   +1 more source

Probabilistic Multiple-Integral Evaluation of Odd Dirichlet Beta and Even Zeta Functions and Proof of Digamma-Trigamma Reflections

Foundations
The aim of this work was to construct explicit expressions for the summation of Dirichlet Beta functions with odd arguments and Zeta functions with even arguments.
Antonio E. Bargellini, Daniele Ritelli, Giulia Spaletta   +2 more
doaj   +1 more source

Games Between Players With Dual‐Selves

International Economic Review, Volume 67, Issue 1, Page 329-351, February 2026.
ABSTRACT Human decision making often seems to be determined by the resolution of intrapersonal conflict. This paper conceptualizes the analysis of decisions governed by such dual‐self processes in individual decision contexts and strategic interactions.
Simon Dato, Andreas Grunewald, Andreas Klümper   +2 more
wiley   +1 more source

Novel dynamic inequalities of Hilbert-Pachpatte-type for a class of non-homogeneous kernels on time scales

Journal of Inequalities and Applications
In this paper, we establish novel dynamic Hilbert–Pachpatte–type inequalities on a time scale T $\mathbb{T}$ involving a class of non-homogeneous kernels k ( s , t ) = ( λ ( s ) + ρ ( t ) ) η $k(s,t) = (\lambda (s) + \rho (t))^{\eta}$ , η > 0 $\eta > 0$ ,
Ahmed I. Saied, Irena Jadlovská
doaj   +1 more source

Generalized Hyers–Ulam Stability of Laplace Equation With Neumann Boundary Condition in the Upper Half‐Space

Mathematical Methods in the Applied Sciences, Volume 49, Issue 2, Page 521-530, 30 January 2026.
ABSTRACT This paper investigates the generalized Hyers–Ulam stability of the Laplace equation subject to Neumann boundary conditions in the upper half‐space. Traditionally, Hyers–Ulam stability problems for differential equations are analyzed by examining the system's error, particularly in relation to a forcing term.
Dongseung Kang, Hoewoon B. Kim, Dojin Kim   +2 more
wiley   +1 more source

On Independence For Non-Additive Measures, With a Fubini Theorem [PDF]

, 1995
Recent models of decision making represent agents' beliefs by non-additive set-functions. An important technical question which arises in applications to diverse areas of economics is how to define independence of such set-functions.
Ghirardato, Paolo
core