Cauchy Problem in S'

Cauchy ’ s theorem , Cauchy ’ s formula , corollaries Paul

Inhomogeneous Two-Parameter Abstract Cauchy Problem

Quantum Cauchy problem in cosmology

We develop a general framework for effective equations of expectation values in quantum cosmology and pose for them the quantum Cauchy problem with no-boundary and tunneling wavefunctions. We apply this framework in the model with a big negative non-minimal coupling, which incorporates a recently proposed low energy (GUT scale) mechanism of the quantum origin of the inflationary Universe and st...

Lectures on Cauchy Problem

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A singular abstract cauchy problem.

In this note a singular abstract Cauchy problem is considered. A solution is obtained for this problem in terms of a regular abstract Cauchy problem. As an application we obtain a new solution of the initial value problem for a class of singular partial differential equations.