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Research talks;Control Theory and Optimization;Partial Differential Equations

In this talk we present a inequality obtained with Jérôme Le Rousseau, for sum of eigenfunctions for bi-Laplace operator with clamped boundary condition. These boundary conditions do not allow to reduce the problem for a Laplacian with adapted boundary condition. The proof follow the strategy used for Laplacian, namely we consider a problem with an extra variable and we prove Carleman estimates for this new problem. The main difficulty is to obtain a Carleman estimate up to the boundary. In this talk we present a inequality obtained with Jérôme Le Rousseau, for sum of eigenfunctions for bi-Laplace operator with clamped boundary condition. These boundary conditions do not allow to reduce the problem for a Laplacian with adapted boundary condition. The proof follow the strategy used for Laplacian, namely we consider a problem with an extra variable and we prove Carleman estimates for this new problem. The main difficulty is to ...

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Documents 35S15 | enregistrements trouvés : 19

A spectral inequality for the bi-Laplace operator Robbiano, Luc | CIRM H Nouveau

Approaches to singular analysisa volume of advances in partial differential equations workshop to ... held at Humboldt University April 8-10 Gil, Juan ; Grieser, Daniel ; Lesch, Matthias | Birkhäuser Verlag 2001 Nouveau

Spectral geometry of manifolds with boundary and decomposition of manifolds :proceedings of the workshop on... held at Roskilde University#Aug. 6-9 Booss-Bavnbek, Bernhelm ; Grubb, Gerg ; Wojciechowski, Krzysztof P. | American Mathematical Society 2005 Nouveau

Pseudo-differential operators: analysis, applications and computations.Selected papers based on lectures presented at the meeting of the ISAAC group in pseudo-differential operators (IGPDO)London # july 13-18, 2009 Rodino, Luigi ; Wong, Man W. ; Zhu, Hongmei | Birkhäuser 2011 Nouveau

Pseudo-differential operators, generalized functions and asymptotics.Selected papers of the 8th ISAAC congressMoscow # august 22-27, 2011 Molahajloo, Shahla ; Pilipovic, Stevan ; Toft, Joachim ; Wong, M. W. | Birkhäuser 2013 Nouveau

Boundary value problems for elliptic pseudodifferential equations Eskin, G. I. | American Mathematical Society 1981 Nouveau

Studies in applied mathematics :a volume dedicated to Irving Segal Guillemin, Victor | Academic Press 1899 Nouveau

General wiener-hopf factorization methods Speck, F. O. | Pitman Advanced Publisher Program 1985 Nouveau

Introduction to pseudodifferential and Fourier integral operators. Vol. 1 :pseudodifferential operators Treves, Francois | Plenum Press 1980 Nouveau

Hodge theory in the Sobolev topology for the De Rham complex Fontana, Luigi ; Krantz, Steven G. ; Peloso , Marco M. | American Mathematical Society 1998 Nouveau

Partial differential equations V :Asymptotic methods for partial differential equations Fedoryuk, M. V. | Springer 1999 Nouveau

Pseudo-differential calculus and mathematical physics Demuth, Michael ; Schrohe, Elmar ; Schulze, Bert-Wolfgang | Akademie Verlag 1994 Nouveau

On the mixed problem for a hyperbolic equation Balaban, Tadeusz | American Mathematical Society 1971 Nouveau

Proceedings of the St. Petersburg mathematical society. Vol. VIII Uraltseva, N. N. | American Mathematical Society 2002 Nouveau

Crack theory and edge singularities Kapanadze, David ; Schulze, Bert-Wolfgang | Kluwer Academic Publishers 2003 Nouveau

Modern trends in pseudo-differential operators Toft, Joachim ; Wong, M. W. ; Zhu, Hongmei | Birkhäuser 2007 Nouveau

New developments in pseudo-differential operators:selected papers of the 6th congress of the international society for analysis, its applications and computation (ISAAC) Rodino, Luigi ; Wong, M. W. | Birkhäuser 2009 Nouveau

Small divisor problem in the theory of three-dimensional water gravity waves Iooss, Gerard ; Plotnikov, Pavel I. | American Mathematical Society 2009 Nouveau

Strichartz estimates and the Cauchy problem for the gravity water waves equations Alazard, Thomas ; Burq, Nicolas ; Zuily, Claude | American Mathematical Society 2018 Nouveau

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Approaches to singular analysis
a volume of advances in partial differential equations
workshop to ... held at Humboldt University
April 8-10 Gil, Juan ; Grieser, Daniel ; Lesch, Matthias | Birkhäuser Verlag 2001 Nouveau

Spectral geometry of manifolds with boundary and decomposition of manifolds :
proceedings of the workshop on... held at Roskilde University#Aug. 6-9 Booss-Bavnbek, Bernhelm ; Grubb, Gerg ; Wojciechowski, Krzysztof P. | American Mathematical Society 2005 Nouveau

Pseudo-differential operators: analysis, applications and computations.
Selected papers based on lectures presented at the meeting of the ISAAC group in pseudo-differential operators (IGPDO)
London # july 13-18, 2009 Rodino, Luigi ; Wong, Man W. ; Zhu, Hongmei | Birkhäuser 2011 Nouveau

Pseudo-differential operators, generalized functions and asymptotics.
Selected papers of the 8th ISAAC congress
Moscow # august 22-27, 2011 Molahajloo, Shahla ; Pilipovic, Stevan ; Toft, Joachim ; Wong, M. W. | Birkhäuser 2013 Nouveau

Studies in applied mathematics :
a volume dedicated to Irving Segal Guillemin, Victor | Academic Press 1899 Nouveau

Introduction to pseudodifferential and Fourier integral operators. Vol. 1 :
pseudodifferential operators Treves, Francois | Plenum Press 1980 Nouveau

Partial differential equations V :
Asymptotic methods for partial differential equations Fedoryuk, M. V. | Springer 1999 Nouveau

New developments in pseudo-differential operators:
selected papers of the 6th congress of the international society for analysis, its applications and computation (ISAAC) Rodino, Luigi ; Wong, M. W. | Birkhäuser 2009 Nouveau