On the solvability of a boundary-value problem for second-order partial differential operator equations. (English. Russian original) Zbl 1460.35075
Math. Notes 91, No. 3, 445-448 (2012); translation from Mat. Zametki 91, No. 3, 470-472 (2012).
From the text: In this paper, we indicate sufficient conditions that ensure a regular solvability of the title problem. These conditions are expressed only by the coefficients of the operator differential equation.
MSC:
35G10 | Initial value problems for linear higher-order PDEs |
35A01 | Existence problems for PDEs: global existence, local existence, non-existence |
35F05 | Linear first-order PDEs |
Keywords:
second-order partial differential operator; regular solvability of a boundary-value problem; Hilbert space; self-adjoint operatorReferences:
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