Advances in Differential Equations and Control Processes
Volume 7, Issue 1, Pages 15 - 39
(February 2011)
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DIFFERENTIAL OPERATORS OF CONSTANT STRENGTH WITH ULTRADIFFERENTIABLE COEFFICIENTS
Byung Keun Sohn
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be a partial differential operator
of constant strength with ultradifferentiable coefficients. We investigate the
local and global existence of solutions u of the equation
when f is in Beurling’s
distributions with compact supports or some special subspaces of Beurling’s
tempered distributions.