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Regularizing estimates for Schrödinger and wave equations

Alberto Ruiz — 1993

Journées équations aux dérivées partielles

Unique continuation for the solutions of the laplacian plus a drift

Alberto Ruiz; Luis Vega — 1991

Annales de l'institut Fourier

We prove unique continuation for solutions of the inequality $| Δ u (x) | \leq V (x) | \nabla u (x) |$ , $x \in Ω$ a connected set contained in $R^{n}$ and $V$ is in the Morrey spaces $F^{α, p}$ , with $p \geq (n - 2) / 2 (1 - α)$ and $α < 1$ . These spaces include $L^{q}$ for $q \geq (3 n - 2) / 2$ (see [H], [BKRS]). If $p = (n - 2) / 2 (1 - α)$ , the extra assumption of $V$ being small enough is needed.

Problemas inversos en ecuaciones en derivadas parciales.

Bartolomé Barceló; Alberto Ruiz — 1998

Gaceta de la Real Sociedad Matemática Española

Unique continuation for Schrödinger operators with potential in Morrey spaces.

Alberto Ruiz; Luis Vega — 1991

Publicacions Matemàtiques

Let us consider in a domain Ω of Rⁿ solutions of the differential inequality |Δu(x)| ≤ V(x)|u(x)|, x ∈ Ω, where V is a non smooth, positive potential. We are interested in global unique continuation properties. That means that u must be identically zero on Ω if it vanishes on an open subset of Ω.

Corrigenda to and a remark on interpolation of Morrey spaces.

Alberto Ruiz; Luis Vega — 1995

Publicacions Matemàtiques

The purpose of this note is twofold. First it is a corrigenda of our paper [RV1]. And secondly we make some remarks concerning the interpolation properties of Morrey spaces.

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Currently displaying 1 – 8 of 8

Regularizing estimates for Schrödinger and wave equations

Unique continuation for the solutions of the laplacian plus a drift

Problemas inversos en ecuaciones en derivadas parciales.

Unique continuation for Schrödinger operators with potential in Morrey spaces.

Corrigenda to and a remark on interpolation of Morrey spaces.

Non interpolation in Morrey-Campanato and block spaces

Strichatz inequalities with weights in Morrey-Campanato classes.

A note on weighted estimates for the Schrödinger operator.