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We consider a nonlinear Dirichlet problem driven by a nonhomogeneous differential operator with a growth of order $(p-1)$ near $+\infty$ and with a reaction which has the competing effects of a parametric singular term and a…

Analysis of PDEs · Mathematics 2020-04-28 Nikolaos S. Papageorgiou , Vicenţiu D. Rădulescu , Dušan D. Repovš

This is the first part of our study of inertial manifolds for the system of 1D reaction-diffusion-advection equations which is devoted to the case of Dirichlet or Neumann boundary conditions. Although this problem does not initially possess…

Analysis of PDEs · Mathematics 2017-03-02 Anna Kostianko , Sergey Zelik

The conditions for fully supersymmetric backgrounds of general N=2 locally supersymmetric theories are derived based on the off-shell superconformal multiplet calculus. This enables the derivation of a non-renormalization theorem for a…

High Energy Physics - Theory · Physics 2015-06-18 Daniel Butter , Bernard de Wit , Ivano Lodato

We present necessary conditions for monotonicity, in one form or another, of fixed point iterations of mappings that violate the usual nonexpansive property. We show that most reasonable notions of linear-type monotonicity of fixed point…

Optimization and Control · Mathematics 2020-03-26 D. Russell Luke , Marc Teboulle , Nguyen H. Thao

We study Dirichlet series enumerating orbits of Cartesian products of maps whose orbit distributions are modelled on the distributions of finite index subgroups of free abelian groups of finite rank. We interpret Euler factors of such orbit…

Combinatorics · Mathematics 2017-11-08 Angela Carnevale , Christopher Voll

In this paper, non-Hamiltonian systems with holonomic constraints are treated by a generalization of Dirac's formalism. Non-Hamiltonian phase space flows can be described by generalized antisymmetric brackets or by general Liouville…

Statistical Mechanics · Physics 2009-11-11 Alessandro Sergi

We consider a variational problem with boundary singularity and Dirichlet condition. We give a blow-up analysis for sequences of solutions of an equation with exponential nonlinearity. Also, we derive a compactness criterion under some…

Analysis of PDEs · Mathematics 2018-10-26 Samy Skander Bahoura

The main purpose of this paper is to estimate the regression function by using a recursive nonparametric kernel approach. We derive the asymptotic normality for a general class of recursive kernel estimate of the regression function, under…

Statistics Theory · Mathematics 2012-12-11 Aboubacar Amiri

We study categories for reversible computing, focussing on reversible forms of event structures. Event structures are a well-established model of true concurrency. There exist a number of forms of event structures, including prime event…

Logic in Computer Science · Computer Science 2017-04-12 Eva Graversen , Iain Phillips , Nobuko Yoshida

We give a new integral characterization of the Dirichlet process on a general phase space. To do so we first prove a characterization of the nonsymmetric Beta distribution via size-biased sampling. Two applications are a new…

Probability · Mathematics 2018-04-02 Günter Last

Monotonicity and recursivity are central assumptions in intertemporal consumption problems under ambiguity. We show that monotone recursive preferences admit both a recursive and an ex-ante representation, and that the certainty equivalent…

Theoretical Economics · Economics 2026-01-23 Massimo Marinacci , Giulio Principi , Lorenzo Stanca

\noindent We formulate an age-structured three-staged nonlinear partial differential equation model that features {\it nonlinear} recidivism to the infected ({\it infectious}) class from the {\it temporarily} recovered class. Equilibria are…

Dynamical Systems · Mathematics 2019-08-07 Fabio Sanchez , Juan G. Calvo , Esteban Segura , Zhilan Feng

What does it mean for a boundary condition to be symmetric with respect to a non-invertible global symmetry? We discuss two possible definitions in 1+1d. On the one hand, we call a boundary weakly symmetric if the symmetry defects can…

High Energy Physics - Theory · Physics 2023-12-08 Yichul Choi , Brandon C. Rayhaun , Yaman Sanghavi , Shu-Heng Shao

We prove a compactness and semicontinuity result that applies to minimisation problems in nonhomogeneous linear elasticity under Dirichlet boundary conditions. This generalises a previous compactness theorem that we proved and employed to…

Analysis of PDEs · Mathematics 2021-10-06 Antonin Chambolle , Vito Crismale

This paper is concerned with nonlinear elliptic equations in nondivergence form where the operator has a first order drift term which is not Lipschitz continuous. Under this condition the equations are nonhomogeneous and nonnegative…

Analysis of PDEs · Mathematics 2019-06-27 Vesa Julin

In this paper, some new forms of the Cheeger's inequalities are established for general (maybe unbounded) symmetric forms, the resulting estimates improve and extend the ones obtained by Lawler and Sokal (1988) for bounded jump processes.…

Probability · Mathematics 2009-09-25 Mu-Fa Chen , Feng-Yu Wang

We establish general theorems quantifying the notion of recurrence --- through an estimation of the moments of passage times --- for irreducible continuous-time Markov chains on countably infinite state spaces. Sharp conditions of…

Probability · Mathematics 2014-07-15 Mikhail Menshikov , Dimitri Petritis

It is well known that a regular diffusion on an interval $I$ without killing inside is uniquely determined by a canonical scale function $s$ and a canonical speed measure $m$. Note that $s$ is a strictly increasing and continuous function…

Probability · Mathematics 2023-03-15 Liping Li

A unified scheme for treating generalized superselection sectors is proposed on the basis of the notion of selection criteria to characterize states of relevance to each specific domain in quantum physics, ranging from the relativistic…

Mathematical Physics · Physics 2007-05-23 Izumi Ojima

Perturbative expansions in many physical systems yield 'only' asymptotic series which are not even Borel resummable. Interestingly, the corresponding ambiguities point to nonperturbative physics. We numerically verify this renormalon…

High Energy Physics - Lattice · Physics 2020-11-03 Falk Bruckmann , Matthias Puhr