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On evolution equations with finite propagation speed

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Abstract

Any well-posed evolution equation which is not kowalewskian never has the property of finite propagation speed. This property is proved by localizations of operator and energy inequalities.

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References

  1. L. Gårding,Linear hyperbolic partial differential equations with constant coefficients, Acta Math.85 (1951), 1–62.

    Article  MATH  MathSciNet  Google Scholar 

  2. L. Hörmander,Pseudo-differential operators and hypoelliptic equations, Proc. Symposium in Singular Integral Operators, Amer. Math. Soc. pp. 138–183.

  3. P. D. Lax and L. Nirenberg,On stability for difference schemes; a sharp form of Gårding’s inequality, Comm. Pure Appl. Math.19 (1966), 473–492.

    Article  MATH  MathSciNet  Google Scholar 

  4. S. Mizohata,Some remarks on the Cauchy problem, J. of Math., Kyoto Univ.1, (1961) 109–127.

    MATH  MathSciNet  Google Scholar 

  5. S. Mizohata,On the evolution equations with finite propagation speed, Proc. Japan Acad.46 (1970), 258–261.

    Article  MATH  MathSciNet  Google Scholar 

  6. L. Schwartz,Théorie des Distributions I.II., 1950–1951.

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Mizohata, S. On evolution equations with finite propagation speed. Israel J. Math. 13, 173–187 (1972). https://doi.org/10.1007/BF02760236

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