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HCDTE Lecture Notes. Part I.
Nonlinear Hyperbolic PDEs, Dispersive and Transport Equations
By Giovanni Alberti,
Camillo De Lellis,
This is the first of two volumes containing the lecture notes of some of
the courses given during the intensive trimester HCDTE, Nonlinear
Hyperbolic PDEs, Dispersive and Transport Equations: analysis and
control, held at SISSA, Trieste (Italy) from May 16th to July 22nd, 2011.
The lectures covered a number of different topics within the fields of
hyperbolic equations, fluid dynamic, dispersive and transport equations,
measure theory and control and they were primarily intended for PhD
students and young researchers at the beginning of their career.
I. Chueshov and I. Lasiecka,
Well-posedness and long time behavior in nonlinear dissipative
hyperbolic-like evolutions with critical exponents
Stability of finite difference schemes for hyperbolic initial boundary
S. Liu and R. Triggiani,
Boundary control and boundary inverse theory for non-homogeneous
second order hyperbolic equations: a common Carleman estimates