On the solvability of a nonlocal boundary value problem for a differential equation with partial derivatives in a two-dimensional domain
1 Department of Higher Mathematics, Lviv polytechnic national university, Lviv, 79007, Ukraine
Keywords:
boundary value problem, two-dimensional domain
Abstract
The paper is devoted to investigation of non-local boundary value problem with one spatial
variable for a partial differential equation. The existence and uniqueness conditions of a solution
of the problem in Sobolev spaces are established. Hadamard’s well-posedness of this problem in
that spaces are shown. The same problem with several spatial variables is not well posed in the
Hadamard sense and the solvability of this problem depends on the small denominators.
Cite
- ACS Style
- Volianska, I.; Il’kiv, V. On the solvability of a nonlocal boundary value problem for a differential equation with partial derivatives in a two-dimensional domain. Bukovinian Mathematical Journal. 2016, 2
- AMA Style
- Volianska I, Il’kiv V. On the solvability of a nonlocal boundary value problem for a differential equation with partial derivatives in a two-dimensional domain. Bukovinian Mathematical Journal. 2016; 2(4).
- Chicago/Turabian Style
- Iryna Volianska, Volodymyr Il’kiv. 2016. "On the solvability of a nonlocal boundary value problem for a differential equation with partial derivatives in a two-dimensional domain". Bukovinian Mathematical Journal. 2 no. 4.
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