Volterra integral equations in Banach space

On the eigenfunctions and on the eigenvalues of general elliptic boundary value problems

Shmuel Agmon · Communications on Pure and Applied Mathematics · 1962 · 580 citations

Spectral Theory, Elliptic Equation, Engineering +4

Fractional powers of dissipative operators

Tosio Kato · Journal of the Mathematical Society of Japan · 1961 · 316 citations · Full text

Resolvent Kernel, Fractional-order System, Functional Analysis +5

Integration of the equation of evolution in a Banach space.

Tosio Kato · Journal of the Mathematical Society of Japan · 1953 · 310 citations

Theorem 2., Resolvent Kernel, Banach Space +3

On linear differential equations in banach spaces

Tosio Kato · Communications on Pure and Applied Mathematics · 1956 · 258 citations

Linear Operator, Linear Differential Equations, Nonlinear Equation +2

Perturbation theory for semi-groups of linear operators

Ralph S. Phillips · Transactions of the American Mathematical Society · 1953 · 186 citations

Topological Semigroups, Linear Operator, Perturbation Theory +2