Advances in Differential Equations and Control Processes
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Abstract: Let 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.
Keywords and phrases: Beurling’s distributions, -wave front set, constant strength, localization at infinity.