# Scattering for hyperbolic equations

@inproceedings{Strauss1963ScatteringFH, title={Scattering for hyperbolic equations}, author={Walter A. Strauss}, year={1963} }

where u has values in a topological linear space K, and A and T are (possibly nonlinear) operators acting on a class of functions with values in K. In a general way, assume that the Cauchy problem for these equations is well-posed. Consider (0) as a 'known' equation and (1) as a perturbation of it. Then a natural problem is this: For each u0 in a given class H0 of solutions of (0) with a given topology, can we find a solution t/j of (1) with the following property (P)? (P): If Mqs) is the… CONTINUE READING

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## One-sided invariant subspaces and domains of uniqueness for hyperbolic equations

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CITES METHODS & BACKGROUND

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#### References

##### Publications referenced by this paper.

SHOWING 1-7 OF 7 REFERENCES

## Quantization of Nonlinear Systems

VIEW 4 EXCERPTS

HIGHLY INFLUENTIAL

## Perturbation of continuous spectra by unbounded operators

VIEW 5 EXCERPTS

HIGHLY INFLUENTIAL

## 77re scattering problem for non-stationary perturbations

VIEW 1 EXCERPT

## Sirkov, Introduction to the theory of quantized fields, Interscience

VIEW 1 EXCERPT

## Functional Analysis and Semi-Groups

VIEW 2 EXCERPTS