Results 41 to 50 of about 14,089 (117)
On the well-posedness of a class of McKean Feynman-Kac equations
, 2019 We analyze the well-posedness of a so called McKean Feynman-Kac Equation (MFKE), which is a McKean type equation with a Feynman-Kac perturbation. We provide in particular weak and strong existence conditions as well as pathwise uniqueness conditions ...
Lieber, Jonas +2 more
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Mean curvature flows and isotopy problems [PDF]
, 2012 In this note, we discuss the mean curvature flow of graphs of maps between Riemannian manifolds. Special emphasis will be placed on estimates of the flow as a non-linear parabolic system of differential equations.
Wang, Mu-Tao
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On Bergman–Toeplitz operators in periodic planar domains
Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract We study spectra of Toeplitz operators Ta$T_a$ with periodic symbols in Bergman spaces A2(Π)$A^2(\Pi)$ on unbounded singly periodic planar domains Π$\Pi$, which are defined as the union of infinitely many copies of the translated, bounded periodic cell ϖ$\varpi$.
Jari Taskinen
wiley +1 more source
Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract In subwavelength physics, a challenging problem is to characterise the spectral properties of finite systems of subwavelength resonators. In particular, it is important to identify localised modes as well as bandgaps and associated mobility edges.
Habib Ammari +2 more
wiley +1 more source
Existence of Weak Solutions for a Degenerate Goursat‐Type Linear Problem
Mathematical Methods in the Applied Sciences, Volume 48, Issue 15, Page 14334-14341, October 2025.ABSTRACT For a generalization of the Gellerstedt operator with mixed‐type Dirichlet boundary conditions to a suitable Tricomi domain, we prove the existence and uniqueness of weak solutions of the linear problem and for a generalization of this problem.
Olimpio Hiroshi Miyagaki +2 more
wiley +1 more source
Mathematical Methods in the Applied Sciences, Volume 48, Issue 14, Page 13285-13299, 30 September 2025.ABSTRACT This paper presents a system of partial differential equations designed to model fluid and nutrient transport within the growing tumor microenvironment. The fluid phase, representing both cells and extracellular fluids flowing within the interstitial space, is assumed to be intrinsically incompressible, so that growth can be modeled as a ...
Francesca Ballatore +2 more
wiley +1 more source
Communications on Pure and Applied Mathematics, Volume 78, Issue 9, Page 1609-1655, September 2025.Abstract The problem of deriving a gradient flow structure for the porous medium equation which is thermodynamic, in that it arises from the large deviations of some microscopic particle system is studied. To this end, a rescaled zero‐range process with jump rate g(k)=kα,α>1$g(k)=k^\alpha, \alpha >1$ is considered, and its hydrodynamic limit and ...
Benjamin Gess, Daniel Heydecker
wiley +1 more source
Communications on Pure and Applied Mathematics, Volume 78, Issue 9, Page 1656-1702, September 2025.Abstract Let (Mn,g)$(M^n,g)$ be a complete Riemannian manifold which is not isometric to Rn$\mathbb {R}^n$, has nonnegative Ricci curvature, Euclidean volume growth, and quadratic Riemann curvature decay. We prove that there exists a set G⊂(0,∞)$\mathcal {G}\subset (0,\infty)$ with density 1 at infinity such that for every V∈G$V\in \mathcal {G}$ there ...
Gioacchino Antonelli +2 more
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Nonlocal Mixed Systems With Neumann Boundary Conditions
Mathematical Methods in the Applied Sciences, Volume 48, Issue 13, Page 12632-12643, September 2025.ABSTRACT We prove well posedness and stability in L1$$ {\mathbf{L}}^1 $$ for a class of mixed hyperbolic–parabolic nonlinear and nonlocal equations in a bounded domain with no flow along the boundary. While the treatment of boundary conditions for the hyperbolic equation is standard, the extension to L1$$ {\mathbf{L}}^1 $$ of classical ...
Rinaldo M. Colombo +2 more
wiley +1 more source
On a vector-valued generalisation of viscosity solutions for general PDE systems
, 2018 We propose a theory of non-differentiable solutions which applies to fully nonlinear PDE systems and extends the theory of viscosity solutions of Crandall-Ishii-Lions to the vectorial case.
Katzourakis, Nikos
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