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Coercive inequalities for Pseudodifferential operators of constant rank

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Summary

Operators are studied whose symbol satisfies a condition of constant rank and a priori estimates developed which hold essentially on the complement of an approximate null space of the operator. A limit absorption result is then established using a technique first described by Agmon.

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Entrata in Redazione il 1è ottobre 1975.

Research supported by the Science Research Council under contract B/SR/97915.

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Thompson, M. Coercive inequalities for Pseudodifferential operators of constant rank. Annali di Matematica 115, 1–15 (1977). https://doi.org/10.1007/BF02414709

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Keywords

  • Null Space
  • Pseudodifferential Operator
  • Limit Absorption
  • Absorption Result
  • Constant Rank