A timelike Cauchy problem and an inverse problem for general hyperbolic equations

A timelike Cauchy problem and an inverse problem for general hyperbolic equations

Analytic solutions for the Stephen's inverse problem with local boundary conditions including Elliptic and hyperbolic equations

In this paper, two inverse problems of Stephen kind with local (Dirichlet) boundary conditions are investigated. In the first problem only a part of boundary is unknown and in the second problem, the whole of boundary is unknown. For the both of problems, at first, analytic expressions for unknown boundary are presented, then by using these analytic expressions for unknown boundaries and bounda...

Unique Continuation and an Inverse Problem for Hyperbolic Equations across a General Hypersurface

For a hyperbolic equation p(x, t)∂ t u(x, t) = ∆u(x, t)+ ∑n j=1 qj(x, t)∂ju+ qn+1(x, t)∂tu+r(x, t)u in R n×R with p ∈ C and q1, ...., qn+1, r ∈ L∞, we consider the unique continuation and an inverse problem across a non-convex hypersurface Γ. Let Γ be a part of the boundary of a domain and let ν(x) be the inward unit normal vector to Γ at x. Then we prove the unique continuation near a point x0...

the algorithm for solving the inverse numerical range problem

برد عددی ماتریس مربعی a را با w(a) نشان داده و به این صورت تعریف می کنیم w(a)={x8ax:x ?s1} ، که در آن s1 گوی واحد است. در سال 2009، راسل کاردن مساله برد عددی معکوس را به این صورت مطرح کرده است : برای نقطه z?w(a)، بردار x?s1 را به گونه ای می یابیم که z=x*ax، در این پایان نامه ، الگوریتمی برای حل مساله برد عددی معکوس ارانه می دهیم.

analytic solutions for the stephen's inverse problem with local boundary conditions including elliptic and hyperbolic equations

in this paper, two inverse problems of stephen kind with local (dirichlet) boundary conditions are investigated. in the first problem only a part of boundary is unknown and in the second problem, the whole of boundary is unknown. for the both of problems, at first, analytic expressions for unknown boundary are presented, then by using these analytic expressions for unknown boundaries and bounda...