Mixed problem for second-order hyperbolic equation with first-order complex boundary condition

Complex Boundary ◽

Classical solution of the first mixed problem for second-order hyperbolic equation in curvilinear half-strip with variable coefficients

Differential Equations ◽

10.1134/s0012266117010074 ◽

2017 ◽

Vol 53 (1) ◽

pp. 74-85 ◽

Cited By ~ 2

Author(s):

V. I. Korzyuk ◽

I. I. Stolyarchuk

Keyword(s):

Hyperbolic Equation ◽

Classical Solution ◽

Mixed Problem ◽

Variable Coefficients ◽

Second Order ◽

Half Strip ◽

Explicit difference scheme for the solution of a mixed problem for a general second order hyperbolic equation

USSR Computational Mathematics and Mathematical Physics ◽

10.1016/0041-5553(64)90140-5 ◽

1964 ◽

Vol 4 (5) ◽

pp. 49-60

Author(s):

I. Kopachek

Keyword(s):

Difference Scheme ◽

Hyperbolic Equation ◽

Mixed Problem ◽

Second Order ◽

Explicit Difference Scheme ◽

The existence of a classical solution to the mixed problem for a linear second-order hyperbolic equation

Ukrainian Mathematical Journal ◽

10.1007/bf01058636 ◽

1993 ◽

Vol 45 (9) ◽

pp. 1382-1389

Author(s):

Yu. A. Mitropol'skii ◽

L. G. Khoma

Keyword(s):

Hyperbolic Equation ◽

Classical Solution ◽

Mixed Problem ◽

Second Order ◽

Inhomogeneous factorized second-order hyperbolic equation in a quarter of the plane with a seminonstationary factorized second directional derivative in the boundary condition

Doklady Mathematics ◽

10.1134/s1064562414070308 ◽

2014 ◽

Vol 90 (3) ◽

pp. 748-753

Author(s):

E. I. Moiseev ◽

F. E. Lomovtsev ◽

E. N. Novikov

Keyword(s):

Boundary Condition ◽

Hyperbolic Equation ◽

Directional Derivative ◽

Second Order ◽

Second Order Hyperbolic Equation ◽

Second Directional Derivative

ON UNIFORM QUASISTABILIZATION OF SOLUTIONS OF THE SECOND MIXED PROBLEM FOR A SECOND-ORDER HYPERBOLIC EQUATION

Mathematics of the USSR-Sbornik ◽

10.1070/sm1987v057n01abeh003067 ◽

1987 ◽

Vol 57 (1) ◽

pp. 243-262

Author(s):

Yu A Mikhaĭlov

Keyword(s):

Hyperbolic Equation ◽

Mixed Problem ◽

Second Order ◽

Mixed problem for a second-order hyperbolic equation which is strongly degenerate on the initial plane

Siberian Mathematical Journal ◽

10.1007/bf00969936 ◽

1980 ◽

Vol 20 (3) ◽

pp. 338-346

Author(s):

F. T. Baranovskii

Keyword(s):

Hyperbolic Equation ◽

Mixed Problem ◽

Second Order ◽

Initial Plane ◽

Strongly Degenerate ◽

An application of subelliptic operators to the mixed problem for a second order hyperbolic equation

Communications in Partial Differential Equations ◽

10.1080/03605308408820327 ◽

1984 ◽

Vol 9 (2) ◽

pp. 107-135 ◽

Cited By ~ 2

Author(s):

P.R. Popivanov ◽

T.V. Gramchev

Keyword(s):

Hyperbolic Equation ◽

Mixed Problem ◽

Second Order ◽

Subelliptic Operators ◽

The mixed problem for a degenerate second-order hyperbolic equation

Journal of Soviet Mathematics ◽

10.1007/bf01097862 ◽

1993 ◽

Vol 66 (6) ◽

pp. 2583-2586

Author(s):

S. P. Lavrenyuk

Keyword(s):

Hyperbolic Equation ◽

Mixed Problem ◽

Second Order ◽

Boundary value problems for a second-order hyperbolic equation in Hilbert space

Cybernetics ◽

10.1007/bf01068731 ◽

1975 ◽

Vol 10 (3) ◽

pp. 552-553

Author(s):

L. I. Vainerman

Keyword(s):

Hilbert Space ◽

Hyperbolic Equation ◽

Boundary Value Problems ◽

Boundary Value ◽

Second Order ◽

On a Spatial Problem of Darboux Type for a Second-Order Hyperbolic Equation

Georgian Mathematical Journal ◽

10.1515/gmj.1995.299 ◽

1995 ◽

Vol 2 (3) ◽

pp. 299-311

Author(s):

S. Kharibegashvili

Keyword(s):

Sobolev Space ◽

Hyperbolic Equation ◽

Unique Solvability ◽

Second Order ◽

Spatial Problem ◽

Abstract The theorem of unique solvability of a spatial problem of Darboux type in Sobolev space is proved for a second-order hyperbolic equation.