Browsing Linear and Non-Linear Waves by Author "Roncal, L."

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    • Carleman type inequalities for fractional relativistic operators 

      Stan, D.; Roncal, L.Autoridad BCAM; Vega, L.Autoridad BCAM (2019-09-22)
      In this paper, we derive Carleman estimates for the fractional relativistic operator. Firstly, we consider changing-sign solutions to the heat equation for such operators. We prove monotonicity inequalities and convexity ...

    • The Frisch–Parisi formalism for fluctuations of the Schrödinger equation 

      Kumar, S.; Ponce Vanegas, F.Autoridad BCAM; Roncal, L.Autoridad BCAM; Vega, L.Autoridad BCAM (2022)
      We consider the solution of the Schrödinger equation $u$ in $\mathbb{R}$ when the initial datum tends to the Dirac comb. Let $h_{\text{p}, \delta}(t)$ be the fluctuations in time of $\int\lvert x \rvert^{2\delta}\lvert ...