# Empathy theory and the Laplace transform

Banach Center Publications (1997)

- Volume: 38, Issue: 1, page 325-338
- ISSN: 0137-6934

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topSauer, Niko. "Empathy theory and the Laplace transform." Banach Center Publications 38.1 (1997): 325-338. <http://eudml.org/doc/208639>.

@article{Sauer1997,

abstract = {This paper is concerned with double families of evolution operators employed in the study of dynamical systems in which cause and effect are represented in different Banach spaces. The main tool is the Laplace transform of vector-valued functions. It is used to define the generator of the double family which is a pair of unbounded linear operators and relates to implicit evolution equations in a direct manner. The characterization of generators for a special class of evolutions is presented.},

author = {Sauer, Niko},

journal = {Banach Center Publications},

keywords = {double families of evolution operators; dynamical systems; Laplace transform of vector-valued functions; generator; pair of unbounded linear operators; implicit evolution equations},

language = {eng},

number = {1},

pages = {325-338},

title = {Empathy theory and the Laplace transform},

url = {http://eudml.org/doc/208639},

volume = {38},

year = {1997},

}

TY - JOUR

AU - Sauer, Niko

TI - Empathy theory and the Laplace transform

JO - Banach Center Publications

PY - 1997

VL - 38

IS - 1

SP - 325

EP - 338

AB - This paper is concerned with double families of evolution operators employed in the study of dynamical systems in which cause and effect are represented in different Banach spaces. The main tool is the Laplace transform of vector-valued functions. It is used to define the generator of the double family which is a pair of unbounded linear operators and relates to implicit evolution equations in a direct manner. The characterization of generators for a special class of evolutions is presented.

LA - eng

KW - double families of evolution operators; dynamical systems; Laplace transform of vector-valued functions; generator; pair of unbounded linear operators; implicit evolution equations

UR - http://eudml.org/doc/208639

ER -

## References

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