ENERGY ESTIMATES OF A SPECIAL FORM FOR SOLUTIONS OF THIRD-ORDER EQUATIONS OF THE PSEUDO-ELLIPTIC TYPE
Keywords:
third-order equation, bounded domains, unbounded domains, boundary value problem, energy estimates, Saint-Venant’s principle, generalized solution, cutoff functionAbstract
This article considers a boundary value problem for a third-order equation of the “pseudoelliptic” type. Special energy estimates are established for the generalized solution of the equation. With the help of which you can build a solution to the boundary value problem in unlimited areas, in classes of functions growing at infinity, depending on the geometric characteristics of the boundaries of the area.
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