On the solvability of the characteristic Dirichlet problem for linear degenerate parabolic equations

on the effect of linear & non-linear texts on students comprehension and recalling

چکیده ندارد.

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.

Solvability of Nonlinear Dirichlet Problem for a Class of Degenerate Elliptic Equations

On the Dirichlet boundary problem for quasi–degenerate elliptic linear equations

Motivated by the structure of the Dynamics Programming Equations relative to Controlled Diffusions we study the Dirichlet value boundary problem governed by quasi–degenerate elliptic partial differential equations of second order. Interior properties of the solution involved to the Maximum Principle are also considered in the paper. 2000 Mathematics Subject Classification: 35B50, 35B37, 49L25

On the Dirichlet Problem in a Characteristic Rectangle for Fourth Order Linear Singular Hyperbolic Equations

In the rectangle D = (0, a) × (0, b) with the boundary Γ the Dirichlet problem ∂4u ∂x2∂y2 = p(x, y)u + q(x, y), u(x, y) = 0 for (x, y) ∈ Γ is considered, where p and q : D → R are locally summable functions and may have nonintegrable singularities on Γ. The effective conditions guaranteeing the unique solvability of this problem and the stability of its solution with respect to small perturbati...