heat equation
Recently Published Documents


TOTAL DOCUMENTS

3584
(FIVE YEARS 748)

H-INDEX

62
(FIVE YEARS 6)

2022 ◽  
Vol 107 ◽  
pp. 117-131 ◽  
Author(s):  
Gregor Gantner ◽  
Raymond van Venetië
Keyword(s):  

2022 ◽  
Vol 40 ◽  
pp. 1-8
Author(s):  
Samira Lecheheb ◽  
Hakim Lakhal ◽  
Messaoud Maouni

My abstract is:This paper is devoted to the study of the existence of weak solutionsfor quasilinear systems of a partial dierential equations which are the combinationof the Perona-Malik equation and the Heat equation. The proof of the main resultsare based on the compactness method and the motonocity arguments.


2022 ◽  
Author(s):  
Satoru Iwasaki

Abstract This paper deals with initial state estimation problems of the heat equation in equilateral metric graphs being admitted to have cycles. Particularly, we are concerned with suitable placements of observation points in order to uniquely determine the initial state from observation data. We give a necessary and sufficient condition for suitable placements of observation points, and such suitable placements are determined from transition matrices of metric graphs. From numerical simulations, we confirm effectiveness of a necessary and sufficient condition.


Sign in / Sign up

Export Citation Format

Share Document