On the solvability of a nonlocal problem with integral conditions for a hyperbolic equation (Q2761464)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: On the solvability of a nonlocal problem with integral conditions for a hyperbolic equation |
scientific article; zbMATH DE number 1685417
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the solvability of a nonlocal problem with integral conditions for a hyperbolic equation |
scientific article; zbMATH DE number 1685417 |
Statements
6 January 2002
0 references
existence and uniqueness of weak solutions
0 references
Galerkin's method
0 references
a priori estimates
0 references
On the solvability of a nonlocal problem with integral conditions for a hyperbolic equation (English)
0 references
Existence and uniqueness of weak solutions is shown for the problem NEWLINE\[NEWLINEw_{xy}+ (Aw)_x+ (Bw)_y+Cw= F(x,y),\;0<x<a,\;0<y<b,NEWLINE\]NEWLINE NEWLINE\[NEWLINE\int^a_0 w(x, y)dx= \psi(y), \quad\int^b_0 w(x,y)dy= \varphi(x).NEWLINE\]NEWLINE The proof is based on Galerkin's method and a priori estimates.
0 references
