REGULARIZED SEMIGROUPS AND NON-ELLIPTIC DIFFERENTIAL OPERATORS discusses the semi-group approach to non-elliptic differential operators, which was developed in the last two decades. A detailed introduction to the theory of regularized semigroups is provided. And then, the authors give the applications of regularized semigroups to non-elliptic differential operators with constant coefficients of time-dependent coefficients, parabolic systems, correct systems, abstract differential operators and pseudo differential operators. They also give the very recent use of regularized semigroups to Schrödinger operators.

Preface / Regularized Semigroups / Perturbations, Approximations and Representations / Integrated Semigroups / Abstract Differential Operators with Constant Coefficients / Applications to Partial Differential Operators / Abstract Differential Operators with Time-dependent Coefficients / Parabolic, Correct and Hyperbolic Systems / Schrödinger Equations / Bibliography / Appendixes / List of Symbols and Abbreviations / Index.

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