International Journal of Functional Analysis, Operator Theory and Applications
-->
Abstract: In
this paper, we study the compound equation related to the Laplace operator of
the form
where is the operator related to the
Laplace operator iterated r-times, is a given generalized function, is an unknown function, and is a constant. In this work, we
study the weak solution of above equation.
Keywords and phrases: weak solution, compound equation.