Well-posedness and ill-posedness results for backward problem for fractional pseudo-parabolic equation

2021 ◽  
Author(s):  
Le Dinh Long ◽  
Yong Zhou ◽  
Rathinasamy Sakthivel ◽  
Nguyen Huy Tuan
Keyword(s):  
Parabolic Equation ◽  
Well Posedness ◽  
Backward Problem

scholarly journals The BV solution of the parabolic equation with degeneracy on the boundary

2016 ◽  
Vol 14 (1) ◽  
pp. 272-282
Author(s):  
Huashui Zhan ◽  
Shuping Chen
Keyword(s):  
Boundary Condition ◽  
Parabolic Equation ◽  
Well Posedness ◽  
Test Functions ◽  
The Stability

AbstractConsider a parabolic equation which is degenerate on the boundary. By the degeneracy, to assure the well-posedness of the solutions, only a partial boundary condition is generally necessary. When 1 ≤ α < p – 1, the existence of the local BV solution is proved. By choosing some kinds of test functions, the stability of the solutions based on a partial boundary condition is established.

Well-Posedness of a Parabolic Equation with Involution

2017 ◽  
Vol 38 (10) ◽  
pp. 1295-1304 ◽  
Author(s):  
Allaberen Ashyralyev ◽  
Abdizhahan Sarsenbi
Keyword(s):  
Parabolic Equation ◽  
Well Posedness

scholarly journals Well posedness for a class of ultra-parabolic equations with discontinuous flux

Filomat ◽  
2012 ◽  
Vol 26 (4) ◽  
pp. 793-800
Author(s):  
Jela Susic
Keyword(s):  
Weak Solution ◽  
Parabolic Equation ◽  
Classical Solution ◽  
Parabolic Equations ◽  
Existence And Uniqueness ◽  
Well Posedness ◽  
Convection Term ◽  
Discontinuous Flux ◽  
Parabolic Term

We prove existence and uniqueness of a weak solution to an ultra-parabolic equation with discontinuous convection term. Due to degeneracy in the parabolic term, the equation does not admit the classical solution. Equations of this type describe processes where transport is negligible in some directions.

scholarly journals On a nonlocal problem for parabolic equation with time dependent coefficients

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Nguyen Duc Phuong ◽  
Ho Duy Binh ◽  
Le Dinh Long ◽  
Dang Van Yen
Keyword(s):  
Parabolic Equation ◽  
Mild Solution ◽  
Parabolic Equations ◽  
Existence And Uniqueness ◽  
Fixed Point Theory ◽  
Nonlocal Problem ◽  
Point Theory ◽  
Time Dependent ◽  
Well Posedness ◽  
Conformable Derivative

AbstractThis paper is devoted to the study of existence and uniqueness of a mild solution for a parabolic equation with conformable derivative. The nonlocal problem for parabolic equations appears in many various applications, such as physics, biology. The first part of this paper is to consider the well-posedness and regularity of the mild solution. The second one is to investigate the existence by using Banach fixed point theory.

Sign in / Sign up

Export Citation Format

Share Document