On an Inverse Problem of Reconstructing an Unknown Coefficient in a Second Order Hyperbolic Equation from Partial Boundary Measurements

Existence and uniqueness of an inverse problem for a second order hyperbolic equation

Universal Journal of Mathematics and Applications ◽

10.32323/ujma.439662 ◽

2018 ◽

pp. 178-185

Author(s):

Ibrahim Tekin

Keyword(s):

Inverse Problem ◽

Hyperbolic Equation ◽

Existence And Uniqueness ◽

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.

Chapter 7 The Cauchy problem for a second-order hyperbolic equation with small third-order viscous terms

Nonlinear Wave Equations Perturbed by Viscous Terms ◽

10.1515/9783110811902.147 ◽

2000 ◽

Keyword(s):

Cauchy Problem ◽

Hyperbolic Equation ◽

Second Order ◽

Third Order ◽

The Cauchy Problem ◽

On the identification of a linear source for the second order hyperbolic equation with integral condition

Applied Mathematical Sciences ◽

10.12988/ams.2015.5134 ◽

2015 ◽

Vol 9 ◽

pp. 1463-1473

Author(s):

Y. T. Mehraliyev ◽

G. N. Isgendarova

Keyword(s):

Hyperbolic Equation ◽

Integral Condition ◽

Second Order ◽

Linear Source ◽

Linear periodic boundary-value problem for a second-order hyperbolic equation. II. Quasilinear problem

Ukrainian Mathematical Journal ◽

10.1007/bf02514207 ◽

1998 ◽

Vol 50 (12) ◽

pp. 1917-1923

Author(s):

N. G. Khoma

Keyword(s):

Boundary Value Problem ◽

Hyperbolic Equation ◽

Periodic Boundary ◽

Boundary Value ◽

Second Order ◽

Periodic Boundary Value Problem ◽

Quasilinear Problem ◽

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 ◽

Sewing method for weak solutions of second-order hyperbolic equation with variable domains of discontinuous unbounded operators

Differential Equations ◽

10.1134/s0012266114050073 ◽

2014 ◽

Vol 50 (5) ◽

pp. 643-654

Author(s):

F. E. Lomovtsev

Keyword(s):

Hyperbolic Equation ◽

Weak Solutions ◽

Second Order ◽

Unbounded Operators ◽

Variable Domains ◽

Method of construction of the Riemann function for a second-order hyperbolic equation

Journal of Physics Conference Series ◽

10.1088/1742-6596/937/1/012001 ◽

2017 ◽

Vol 937 ◽

pp. 012001 ◽

Cited By ~ 1

Author(s):

A V Aksenov

Keyword(s):

Hyperbolic Equation ◽

Riemann Function ◽

Second Order ◽

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 ◽