BACKWARD UNIQUENESS FOR THE HEAT OPERATOR IN A HALF-SPACE

By Luis Escauriaza, G A Seregin, Vladimír Sverák. 2004

63 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Control and Systems Engineering, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/e6c2b67cac3f0f926f2d8b4da5742420f13df6ca

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. Piermarco Cannarsa
2. Genni Fragnelli
3. Judith Vancostenoble
4. G A Seregin
5. Vladimír Sverák
6. Luis Escauriaza
7. Masahiro Yamamoto
8. Dario Rocchetti

In Control and Systems Engineering

1. Piermarco Cannarsa
2. Genni Fragnelli
3. G A Seregin
4. Judith Vancostenoble
5. Luis Escauriaza
6. Vladimír Sverák
7. Dario Rocchetti
8. Patrick S. Martinez

In Mathematical Physics

1. G A Seregin
2. Vladimír Sverák
3. Piermarco Cannarsa
4. Genni Fragnelli
5. Judith Vancostenoble
6. Luis Escauriaza
7. Masahiro Yamamoto
8. Dario Rocchetti

Citations in the corpus

• Controllability results for a class of one-dimensional degenerate parabolic problems in nondivergence form (2008, result): “Using a result of Escauriaza, Seregin and Sverak (see [12] or [13]), that generalizes previous work by Micu and Zuazua (see [26] or [27]), we deduce, as in [7], that (4.”
• Carleman estimates for parabolic equations and applications (2009, background): “In [49, 50], a sharp backward uniqueness result is proved: let |∂tu + u| C(|∇u| + |u|) in {|x| > R} × (0, T ) and let |u(x, t)| C eC|x|(2) .”
• L3,∞-solutions of the Navier-Stokes equations and backward uniqueness (2003, methodology): “Our approach follows the lines of [7] (see also [5] and [6]).”
• Carleman estimates for one-dimensional degenerate heat equations (2006, background): “Sver´ [11, 12 ] that the null controllability does not hold if α> 2o r β> 2. Hence our controllability result is optimal in that sense.”