Branching of solutions of the problem of synthesis of a linear antenna with given directional amplitude diagram in a Hölder space

2000 ◽  
Vol 99 (5) ◽  
pp. 1557-1568
Author(s):  
P. O. Savenko
Keyword(s):  
Linear Antenna ◽  
Holder Space ◽  
Hölder Space ◽  
Branching Of Solutions

Solution of the nonregular problem for a parabolic equation with the time derivative in the boundary condition

2021 ◽  
pp. 1-35
Author(s):  
Galina Bizhanova
Keyword(s):  
Boundary Layer ◽  
Boundary Condition ◽  
Parabolic Equation ◽  
Small Parameter ◽  
Unique Solvability ◽  
Time Derivative ◽  
Holder Space ◽  
Hölder Space ◽  
Space Solution ◽  
Unperturbed Problem

There is studied the Hölder space solution u ε of the problem for parabolic equation with the time derivative ε ∂ t u ε | Σ in the boundary condition, where ε > 0 is a small parameter. The unique solvability of the perturbed problem and estimates of it’s solution are obtained. The convergence of u ε as ε → 0 to the solution of the unperturbed problem is proved. Boundary layer is not appeared.

Subdiffusion: Hölder Space Theory

2021 ◽  
pp. 277-330
Author(s):  
Bangti Jin
Keyword(s):  
Space Theory ◽  
Holder Space ◽  
Hölder Space
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