Functional Analysis in Applied Mathematics and Engineering

Additional Info

  • ECTS credits: 9
  • Semester: 1
  • University: University of L'Aquila
  • Prerequisites:

    Linear Algebra. Complex numbers. Differential and integral calculus of functions of real variables.

  • Topics:

    Basic functional analysis: normed and Banach spaces, Hilbert spaces, Lebesgue integral, linear operators, weak topologies, distribution theory, Sobolev spaces, fixed point theorems, calculus in Banach spaces, spectral theory.

    Applications: ordinary differential equations, boundary value problems for partial differential equations, linear system theory, optimization theory.

  • Books:

    Ruth F. Curtain, A.J. Pritchard, Functional Analysis in Modern Applied Mathematics, Academic Press, 1977

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