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heat equation
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scholarly journals Crandall–Lions viscosity solutions for path-dependent PDEs: The case of heat equation

Bernoulli ◽  
2022 ◽  
Vol 28 (1) ◽  
Author(s):  
Andrea Cosso ◽  
Francesco Russo
Keyword(s):  
Heat Equation ◽  
Viscosity Solutions ◽  
Path Dependent

scholarly journals Adaptive space-time BEM for the heat equation

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

scholarly journals Existence of solutions for quasilinear problem with Neumann boundary conditions

2022 ◽  
Vol 40 ◽  
pp. 1-8
Author(s):  
Samira Lecheheb ◽  
Hakim Lakhal ◽  
Messaoud Maouni
Keyword(s):  
Boundary Conditions ◽  
Heat Equation ◽  
Existence Of Solutions ◽  
Neumann Boundary ◽  
Neumann Boundary Conditions ◽  
Compactness Method ◽  
Quasilinear Systems ◽  
Quasilinear Problem

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.

New regularity results for the heat equation in triangular domains

SeMA Journal ◽  
2022 ◽  
Author(s):  
Yassine Benia ◽  
Boubaker-Khaled Sadallah
Keyword(s):  
Heat Equation ◽  
Regularity Results

Initial state estimation from limited observations of the heat equation in metric graphs

2022 ◽  
Author(s):  
Satoru Iwasaki
Keyword(s):  
Heat Equation ◽  
State Estimation ◽  
Observation Data ◽  
Sufficient Condition ◽  
Necessary And Sufficient Condition ◽  
Transition Matrices ◽  
Metric Graphs ◽  
Initial State ◽  
Estimation Problems ◽  
Necessary And Sufficient

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.

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