Hilbert Space Methods for Partial Differential Equations
by R. E. Showalter
Publisher: Pitman 1994
Number of pages: 208
The text for beginning graduate students of mathematics, engineering, and the physical sciences. The book covers elements of Hilbert space, distributions and Sobolev spaces, boundary value problems, first order evolution equations, implicit evolution equations, second order evolution equations, optimization and approximation topics.
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by Leif Mejlbro - BookBoon
Examples of Hilbert-Smith operators and other types of integral operators, Hilbert Schmidt norm, Volterra integral operator, Cauchy-Schwarz inequality, Hoelder inequality, iterated kernels, Hermitian kernel, and much more.
by F.F. Bonsall - Tata Institute Of Fundamental Research
The book is concerned with the application of a variety of methods to both non-linear (fixed point) problems and linear (eigenvalue) problems in infinite dimensional spaces. Author was interested in the construction of eigenvectors and eigenvalues.
by Jaydeb Sarkar - arXiv
An introduction of Hilbert modules over function algebras. The theory of Hilbert modules is presented as combination of commutative algebra, complex geometry and Hilbert spaces and its applications to the theory of n-tuples of commuting operators.
by Gerald Teschl - University of Vienna
This manuscript provides a brief introduction to nonlinear functional analysis. As an application we consider partial differential equations and prove existence and uniqueness for solutions of the stationary Navier-Stokes equation.