scholarly journals NOTE ON LOCAL ESTIMATES FOR WEAK SOLUTION OF BOUNDARY VALUE PROBLEM FOR SECOND ORDER PARABOLIC EQUATION

2016 ◽  
Vol 53 (4) ◽  
pp. 1123-1148
Author(s):  
Jongkeun Choi
Keyword(s):  
Weak Solution ◽  
Parabolic Equation ◽  
Boundary Value Problem ◽  
Boundary Value ◽  
Second Order ◽  
Order Parabolic Equation

scholarly journals Investigation of the Trace Elements Concentrations Dynamics in a Horizontal Layered Fine-Pore Peat Blocks of Mires Fed By Groundwater and Springs

2019 ◽  
pp. 76-100
Author(s):  
Sharif E. Guseynov ◽  
Ruslans Aleksejevs ◽  
Jekaterina V. Aleksejeva
Keyword(s):  
Trace Elements ◽  
Parabolic Equation ◽  
Boundary Value Problem ◽  
Boundary Conditions ◽  
Analytical Approach ◽  
Boundary Value ◽  
Second Order ◽  
Unsteady State ◽  
Order Parabolic Equation ◽  
State Boundary

In the present paper, we propose an analytical approach for solving the 3D unsteady-state boundary-value problem for the second-order parabolic equation with the second and third types boundary conditions in two-layer rectangular parallelepipedic domain.

On the solutions of the first boundary value problem for the linear parabolic equations

1988 ◽  
Vol 108 (3-4) ◽  
pp. 339-355 ◽  
Author(s):  
Eugenio Sinestrari ◽  
Wolf von Wahl
Keyword(s):  
Parabolic Equation ◽  
Boundary Value Problem ◽  
Parabolic Equations ◽  
Boundary Value ◽  
Second Order ◽  
Inhomogeneous Term ◽  
Hölder Continuous ◽  
Space And Time ◽  
Order Parabolic Equation ◽  
Linear Parabolic Equations

SynopsisThe first boundary value problem for a linear second order parabolic equation is studied under the assumption that the inhomogeneous term is continuous in space and time and Hölder-continuous only with respect to the space variables.

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