ON EXTREMAL PROBLEMS RELATED TO EIGENVALUES OF LINEAR DIFFERENTIAL OPERATORS. I.
Technical summary rept.,
WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
Pagination or Media Count:
The report discusses the problem of extremization of Re lambda, say, in the equation Ax lambda rhox, where A is a linear differential operator, x epsilon X, rho epsilon Q, with X and Q two suitable set of functions, under the additional condition the integral over rho 1. A comparison theorem involving equalities is proved which brings to light the existence of an analytical structure in the problem. Several applications to concrete cases are given. Author
- Theoretical Mathematics