# DISSIPATIVE OPERATORS AND HYPERBOLIC SYSTEMS OF PARTIAL DIFFERENTIAL EQUATIONS

@article{Phillips1959DISSIPATIVEOA, title={DISSIPATIVE OPERATORS AND HYPERBOLIC SYSTEMS OF PARTIAL DIFFERENTIAL EQUATIONS}, author={Ralph Phillips}, journal={Transactions of the American Mathematical Society}, year={1959}, volume={90}, pages={193-254} }

## 234 Citations

Maximal Operators with Respect to the Numerical Range

- Mathematics
- 2018

Let $$\mathfrak {n}$$n be a nonempty, proper, convex subset of $$\mathbb {C}$$C. The $$\mathfrak {n}$$n-maximal operators are defined as the operators having numerical ranges in $$\mathfrak {n}$$n…

Norm preserving extensions of linear transformations on Hilbert spaces.

- Mathematics
- 1969

Introduction. Let H be a Hilbert space and let D be a closed proper subspace of H. Let Jo be a linear contraction on D to H. The problem of characterizing the contractions on all of H which extend Jo…

M-dissipative boundary conditions and boundary tuples for Maxwell operators

- MathematicsJournal of Differential Equations
- 2022

Dissipative extensions and port-Hamiltonian operators on networks

- MathematicsJournal of Differential Equations
- 2020

Extraction and prediction of coherent patterns in incompressible flows through space–time Koopman analysis

- Computer Science
- 2017

3 Boundary triplets and maximal accretive extensions of sectorial operators

- Mathematics
- 2012

This chapter is a survey of results related to the problem of a description of all maximal accretive extensions for a densely defined sectorial operator; the problem in more generality was originally…

Conditions for the maximal dissipativity of almost bounded perturbations of smooth restrictions of operators adjoint to symmetric ones

- Mathematics
- 2004

We establish conditions for the maximal dissipativity of one class of densely-defined closed linear operators in a Hilbert space. The results obtained are applied to the investigation of some special…

Differential-boundary operators and associated neutral functional differential questions

- Mathematics
- 1983

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