Joana Terra

activity

20082018

most citedSaddle-shaped solutions of bistable diffusion equations in all of

R^{2 m}

9 citations · 13 across the 7 of their papers we have counts for

collaborators

8 papers

math.AP2018

The $\infty$ -eigenvalue problem with a sign-changing weight

Uriel Kaufmann, Julio D. Rossi, Joana Terra

Let $Ω \subset R^{n}$ be a smooth bounded domain and $m \in C (Ω)$ be a sign-changing weight function. For $1 < p < \infty$ , consider the eigenvalue problem $$ \left\{ \b…

math.AP2016

A coupled ligand-receptor bulk-surface system on a moving domain: well posedness, regularity and convergence to equilibrium

Amal Alphonse, Charles M. Elliott, Joana Terra

We prove existence, uniqueness, and regularity for a reaction-diffusion system of coupled bulk-surface equations on a moving domain modelling receptor-ligand dynamics in cells. The…

math.AP2014

Large time behavior for a nonlocal diffusion equation with absorption and bounded initial data: the subcritical case

Ariel Salort, Joana Terra, Noemí Wolanski

In this paper we continue our study of the large time behavior of the bounded solution to the nonlocal diffusion equation with absorption \begin{align} \begin{cases} u_t = \mathcal…

math.AP2013★ 2 cited

Stable solutions of equations with a quadratic gradient term

Joana Terra

We study existence and regularity properties of stable positive solutions to the nonvariational problem - Delta u - b(x)|nabla u|^2 = lambda g(u) in a bounded smooth domain. In the…

math.AP2010

Large Time Behavior of a Nonlocal Diffusion Equation with Absorption and Bounded Initial Data

Joana Terra, Noemi Wolanski

We study the large time behavior of nonnegative solutions of the Cauchy problem $u_{t} = \int J (x - y) (u (y, t) - u (x, t)) d y - u^{p}$ , $u (x, 0) = u_{0} (x) \in L^{\infty}$ , where $∣ x ∣^{α} u_{0} (x) \to A > 0$ as…

math.AP2009

Asymptotic Behavior for a Nonlocal Diffusion Equation with Absorption and Nonintegrable Initial Data. the Supercritical Case