Non-Homogeneous Media and Vibration Theory

Inhaltsverzeichnis

• Distributions and Sobolev spaces.
• Operators in Banach spaces.
• Examples of boundary value problems.
• Semigroups and laplace transform.
• Homogenization of second order equations.
• Homogenization in elasticity and electromagnetism.
• Fluid flow in porous media.
• Vibration of mixtures of solids and fluids.
• Examples of perturbations for elliptic problems.
• The Trotter-Kato theorem and related topics.
• Spectral perturbation. Case of isolated eigenvalues.
• Perturbation of spectral families and applications to selfadjoint eigenvalue problems.
• Stiff problems in constant and varialbe domains.
• Averaging and two-scale methods.
• Generalities and potential method.
• Functional methods.
• Scattering problems depending on a parameter.