On the spectral synthesis property and its application to partial differential equations
Abstract
Let M be a (n-1)-dimensional manifold in Rn with non-vanishing Gaussian curvature. Using an estimate established in the early work of the author [4], we will improve the known result of Y. Domar on the weak spectral synthesis property by reducing the smoothness assumption upon the manifold M. Also as an application of the method, a uniqueness property for partial differential equations with constant coefficients will be proved, which for some specific cases recovers or improves Hörmander's general result.
Department(s)
Mathematics
Document Type
Article
DOI
https://doi.org/10.1007/BF02384864
Publication Date
12-1-1992
Recommended Citation
Guo, Kanghui. "On the spectral synthesis property and its application to partial differential equations." Arkiv för matematik 30, no. 1 (1992): 93-103.
Journal Title
Arkiv för matematik
COinS
