Global solvability to the non-local problem for parabolic equation

2018 ◽  
Vol 2018 (1) ◽  
pp. 161-166
Author(s):  
J.O. Takhirov ◽  
Keyword(s):  
Parabolic Equation ◽  
Global Solvability ◽  
Local Problem ◽  
Non Local

scholarly journals On non-local problems for parabolic equations

1984 ◽  
Vol 93 ◽  
pp. 109-131 ◽  
Author(s):  
J. Chabrowski
Keyword(s):  
Parabolic Equation ◽  
Parabolic Equations ◽  
Linear Parabolic Equation ◽  
Local Problem ◽  
Local Problems ◽  
Non Local

The main purposes of this paper are to investigate the existence and the uniqueness of a non-local problem for a linear parabolic equationin a cylinder D = Ω × (0, T].

scholarly journals Non-local problem with integral conditions for the three-dimensional high order hyperbolic equations

2020 ◽  
pp. 51-62
Author(s):  
Ш.Ш. Юсубов
Keyword(s):  
Integral Equation ◽  
Hyperbolic Equation ◽  
Hyperbolic Equations ◽  
Three Dimensional ◽  
High Order ◽  
Mixed Derivative ◽  
Local Problem ◽  
Integral Conditions ◽  
Order Hyperbolic Equation ◽  
Non Local

В работе для трехмерного гиперболического уравнения высокого порядка с доминирующей смешанной производной исследуется разрешимость нелокальной задачи с интегральными условиями. Поставленная задача сводится к интегральному уравнению и с помощью априорных оценок доказывается существование единственного решения. In the work the solvability of the non-local problem with integral conditions is investigated for the three-dimensional high order hyperbolic equation with dominated mixed derivative. The problem is reduced to the integral equation and existence of the solution is proved by the help of aprior estimations.

Multiplicity results for a non-local problem with concave and convex nonlinearities

2019 ◽  
Vol 182 ◽  
pp. 263-279 ◽  
Author(s):  
Najmeh Kouhestani ◽  
Hakimeh Mahyar ◽  
Abbas Moameni
Keyword(s):  
Local Problem ◽  
Multiplicity Results ◽  
Non Local ◽  
Concave And Convex Nonlinearities

scholarly journals Non-local to local transition for ground states of fractional Schrödinger equations on $$\mathbb {R}^N$$

2020 ◽  
Vol 22 (3) ◽  
Author(s):  
Bartosz Bieganowski ◽  
Simone Secchi
Keyword(s):  
Ground State ◽  
Ground States ◽  
Ground State Solution ◽  
State Solution ◽  
Local Problem ◽  
Schrödinger Equations ◽  
Ground State Solutions ◽  
Fractional Schrödinger Equations ◽  
Non Local ◽  
Local Transition

Abstract We consider the nonlinear fractional problem $$\begin{aligned} (-\Delta )^{s} u + V(x) u = f(x,u)&\quad \hbox {in } \mathbb {R}^N \end{aligned}$$ ( - Δ ) s u + V ( x ) u = f ( x , u ) in R N We show that ground state solutions converge (along a subsequence) in $$L^2_{\mathrm {loc}} (\mathbb {R}^N)$$ L loc 2 ( R N ) , under suitable conditions on f and V, to a ground state solution of the local problem as $$s \rightarrow 1^-$$ s → 1 - .

scholarly journals Unique solvability of a non-local problem for mixed-type equation with fractional derivative

2016 ◽  
Vol 40 (8) ◽  
pp. 2994-2999 ◽  
Author(s):  
Erkinjon T. Karimov ◽  
Abdumauvlen S. Berdyshev ◽  
Nilufar A. Rakhmatullaeva
Keyword(s):  
Fractional Derivative ◽  
Unique Solvability ◽  
Mixed Type ◽  
Type Equation ◽  
Local Problem ◽  
Mixed Type Equation ◽  
Non Local

On a non-local problem for irregular equations

2000 ◽  
Vol 191 (11) ◽  
pp. 1607-1633
Author(s):  
V V Kornienko
Keyword(s):  
Local Problem ◽  
Non Local
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