Correct solvability of boundary-value problems in a halfspace for quasielliptic equations
Consider the boundary value problem for the quasielliptic equation \[ (1)\quad L(D_ x,D_{xn})u=f(x,x_ n),\quad x_ n>0,\quad x\in R_{n-1} \] \[ B_ j(D_ x,D_{xn})u|_{x_ n=0}=0,\quad j=1,...,\mu \] with boundary operators. This paper deals with the problem on the adapted solvability of the boundary problem (1) in Sobolev classes \(W^ r_ p(R^+_ n)\), \(1<p<\infty\). Some sufficient conditions for this are established.
scientific article; zbMATH DE number 4097898
scientific article