Hypoelliptic differential equations and pseudodifferential operators with operator-valued symbols

V. V. Grushin

Sbornik. Mathematics, Tome 17 (1972) no. 4, pp. 497-514

Résumé

Sufficient conditions are established for the hypoellipticity of pseudodifferential operators with operator-valued symbols. These results are used to prove the hypoellipticity of new classes of linear partial differential equations. Bibliography: 43 titles.

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