ON NOETHERICITY AND INDEX OF DIFFERENTIAL OPERATORS IN ANISOTROPIC WEIGHTED SOBOLEV SPACES

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ON NOETHERICITY AND INDEX OF DIFFERENTIAL OPERATORS IN ANISOTROPIC WEIGHTED SOBOLEV SPACES Ani Tumanyan

This paper studies Noethericity and index in anisotropic weighted Sobolev spaces in Rm. Sufficient conditions are established for Noethericity preservation in weighted spaces. Applying the results obtained for operators acting in weighted Sobolev spaces, sufficient condition for semi-elliptic operator to have zero index is found.

DOI: 10.46991/PYSU:A/2016.50.3.063 Physical and Mathematical Sciences, 50(3 (241) 63-69

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Keywords

Noetherian operator, index of operator, weighted Sobolev spaces

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