On bounded invertibility of a class of degenerate elliptic differential operators in L_p

Abstract

A result on the existence of a bounded degenerated elliptic differential operator is proved and an a priori estimate in the space () is obtained.

Keywords:

• degenerate elliptic differential operator
• a priori estimate
• essentially self-adjoint
• symmetric operator

AMS Subject Classifications:

• 35J70
• 35B45