Zobrazeno 1 - 10
of 48
pro vyhledávání: '"Meglioli, Giulia"'
Autor:
Meglioli, Giulia
We study the uniqueness of solutions to a class of heat equations with positive density posed on infinite weighted graphs. We separately consider the case when the density is bounded from below by a positive constant and the case of possibly vanishin
Externí odkaz:
http://arxiv.org/abs/2409.03617
Autor:
Erbar, Matthias, Meglioli, Giulia
In this paper we provide a variational characterisation for a class of non-linear evolution equations with constant non-negative Dirichlet boundary conditions on a bounded domain as gradient flows in the space of non-negative measures. The relevant g
Externí odkaz:
http://arxiv.org/abs/2408.05987
We investigate existence of global in time solutions and blow-up of solutions to the semilinear heat equation posed on infinite graphs. The source term is a general function $f(u)$. We always assume that the infimum of the spectrum of the Laplace ope
Externí odkaz:
http://arxiv.org/abs/2406.15069
We study mixed local and nonlocal elliptic equation with a variable coefficient $\rho$. Under suitable assumptions on the behaviour at infinity of $\rho$, we obtain uniqueness of solutions belonging to certain weighted Lebsgue spaces, with a weight d
Externí odkaz:
http://arxiv.org/abs/2307.02209
We investigate the validity of the Liouville property for a class of elliptic equations with a potential, posed on infinite graphs. Under suitable assumptions on the graph and on the potential, we prove that the unique bounded solution is $u\equiv 0$
Externí odkaz:
http://arxiv.org/abs/2304.00786
Autor:
Meglioli, Giulia, Punzo, Fabio
We investigate uniqueness of solutions to Schr\"odinger-type elliptic equations posed on infinite graphs. Solutions are assumed to belong to suitable weighted $\ell^p$ spaces where $p\geq 1$ and the weight is related to both the potential and $p$
Externí odkaz:
http://arxiv.org/abs/2212.05928
Global existence for reaction-diffusion evolution equations driven by the $p$-Laplacian on manifolds
We consider reaction-diffusion equations driven by the $p$-Laplacian on noncompact, infinite volume manifolds assumed to support the Sobolev inequality and, in some cases, to have $L^2$ spectrum bounded away from zero, the main example we have in min
Externí odkaz:
http://arxiv.org/abs/2210.16221
Autor:
Meglioli, Giulia, Roncoroni, Alberto
We investigate the uniqueness, in suitable weighted Lebesgue spaces, of solutions to a class of elliptic equations with a drift posed on a complete, noncompact, Riemannian manifold $M$ of infinite volume and dimension $N\ge2$. Furthermore, in the spe
Externí odkaz:
http://arxiv.org/abs/2210.06275
Autor:
Meglioli, Giulia
We study global in time existence versus blow-up in finite time of solutions to the Cauchy problem for the porous medium equation with a variable density $\rho(x)$ and a power-like reaction term posed in the one dimensional interval $(-R,R)$, $R>0$.
Externí odkaz:
http://arxiv.org/abs/2204.07771
Autor:
Meglioli, Giulia, Punzo, Fabio
We investigate uniqueness, in suitable weighted Lebesgue spaces, of solutions to a class of fractional parabolic and elliptic equations with a drift.
Comment: arXiv admin note: substantial text overlap with arXiv:1306.5071
Comment: arXiv admin note: substantial text overlap with arXiv:1306.5071
Externí odkaz:
http://arxiv.org/abs/2204.07768