Results 21 to 30 of about 468 (48)

On a nonlinear Robin problem with an absorption term on the boundary and L1 data

Advances in Nonlinear Analysis
We deal with existence and uniqueness of nonnegative solutions to: −Δu=f(x),inΩ,∂u∂ν+λ(x)u=g(x)uη,on∂Ω,\left\{\begin{array}{ll}-\Delta u=f\left(x),\hspace{1.0em}& \hspace{0.1em}\text{in}\hspace{0.1em}\hspace{0.33em}\Omega ,\\ \frac{\partial u}{\partial ...
Pietra Francesco Della, Oliva Francescantonio, León Sergio Segura de   +2 more
doaj   +1 more source

Smooth counterexamples to strong unique continuation for a Beltrami system in $\mathbb{C}^2$ [PDF]

, 2011
We construct an example of a smooth map $\mathbb{C}\to\mathbb{C}^2$ which vanishes to infinite order at the origin, and such that the ratio of the norm of the $\bar z$ derivative to the norm of the $z$ derivative also vanishes to infinite order.
Coffman, Adam, Pan, Yifei
core   +3 more sources

Semiflow selection and Markov selection theorems

, 2019
The deterministic analog of the Markov property of a time-homogeneous Markov process is the semigroup property of solutions of an autonomous differential equation.
Cardona, Jorge E., Kapitanski, Lev
core   +1 more source

Uniqueness and nondegeneracy of ground states for −Δu+u=(Iα⋆u2)u-\Delta u+u=\left({{\rm{I}}}_{\alpha }\star {u}^{2})u in R3{{\mathbb{R}}}^{3} when α\alpha is close to 2

Advances in Nonlinear Analysis
In this article, we study the following Choquard equation: −Δu+u=(Iα⋆u2)u,x∈R3,-\Delta u+u=\left({{\rm{I}}}_{\alpha }\star {u}^{2})u,\hspace{1.0em}x\in {{\mathbb{R}}}^{3}, where Iα{{\rm{I}}}_{\alpha } is the Riesz potential and α\alpha is sufficiently ...
Luo Huxiao, Zhang Dingliang, Xu Yating
doaj   +1 more source

Outperforming the market portfolio with a given probability

, 2012
Our goal is to resolve a problem proposed by Fernholz and Karatzas [On optimal arbitrage (2008) Columbia Univ.]: to characterize the minimum amount of initial capital with which an investor can beat the market portfolio with a certain probability, as a ...
Bayraktar, Erhan, Huang, Yu-Jui, Song, Qingshuo   +2 more
core   +2 more sources

Diffuse-interface approximation and weak–strong uniqueness of anisotropic mean curvature flow

European Journal of Applied Mathematics
The purpose of this paper is to derive anisotropic mean curvature flow as the limit of the anisotropic Allen–Cahn equation. We rely on distributional solution concepts for both the diffuse and sharp interface models and prove convergence using relative ...
Tim Laux, Kerrek Stinson, Clemens Ullrich   +2 more
doaj   +1 more source

Long time decay of incompressible convective Brinkman-Forchheimer in L2(ℝ3)

Demonstratio Mathematica
In this article, we study the global existence, uniqueness, and continuity for the solution of incompressible convective Brinkman-Forchheimer on the whole space R3{{\mathbb{R}}}^{3} when 4μβ≥14\mu \beta \ge 1.
Jlali Lotfi, Benameur Jamel
doaj   +1 more source

Dynamical behaviour of a logarithmically sensitive chemotaxis model under time-dependent boundary conditions

European Journal of Applied Mathematics
This article studies the dynamical behaviour of classical solutions of a hyperbolic system of balance laws, derived from a chemotaxis model with logarithmic sensitivity, with time-dependent boundary conditions. It is shown that under suitable assumptions
Padi Fuster Aguilera, Kun Zhao
doaj   +1 more source

Local and global existence for the Lagrangian Averaged Navier-Stokes equations in Besov spaces

, 2011
We prove the existence of short time solutions to the incompressible, isotropic Lagrangian Averaged Navier-Stokes equation with low regularity initial data in Besov spaces $B^{r}_{p,q}(\mathbb{R}^n)$, $r>n/2p$.
Pennington, Nathan
core   +1 more source

The violation of a uniqueness theorem and an invariant in the application of Poincar\'{e}--Perron theorem to Heun's equation

, 2019
The domain of convergence of a Heun function obtained through the Poincar\'{e}--Perron (P--P) theorem is not absolute convergence but conditional one [2].
Choun, Yoon-Seok
core