Element-wisea posteriori estimates based on hierarchical bases for non-linear parabolic problems

2005 ◽  
Vol 63 (8) ◽  
pp. 1146-1173 ◽  
Author(s):  
Javier de Frutos ◽  
Julia Novo
Keyword(s):  
Parabolic Problems ◽  
Hierarchical Bases ◽  
Non Linear

Recent Advances in Non-Linear Elliptic and Parabolic Problems

1990 ◽  
Vol 74 (470) ◽  
pp. 414
Author(s):  
M. Grinfeld ◽  
P. Benilan ◽  
M. Chipot ◽  
L. C. Evans ◽  
M. Pierre
Keyword(s):  
Parabolic Problems ◽  
Recent Advances ◽  
Non Linear

Non-linear mixed boundary value problems for parabolic partial differential equations

1985 ◽  
Vol 100 (3-4) ◽  
pp. 219-235 ◽  
Author(s):  
Joelle Bailet-Intissar
Keyword(s):  
Partial Differential Equations ◽  
Boundary Conditions ◽  
Open Subset ◽  
Mixed Boundary ◽  
Mixed Boundary Conditions ◽  
Parabolic Problems ◽  
Parabolic Partial Differential Equations ◽  
Sufficient Condition ◽  
Non Linear ◽  
Bounded Open Subset

SynopsisA sufficient condition on the angles of a bounded open subset Ω of ℝn is given for the best possible regularity of a solution to a class of parabolic problems with non-linear mixed boundary conditions.

A Method of Conversion of some Coefficient Inverse Parabolic Problems to a Unified Type of Integral-Differential Equation

2011 ◽  
Vol 222 ◽  
pp. 353-356
Author(s):  
Sharif E. Guseynov ◽  
Janis S. Rimshans ◽  
Jevgenijs Kaupuzs ◽  
Artur Medvid' ◽  
Daiga Zaime
Keyword(s):  
Differential Equation ◽  
Inverse Problems ◽  
Parabolic Equations ◽  
Parabolic Problems ◽  
Linear Parabolic Equations ◽  
Different Types ◽  
Non Linear ◽  
Coefficient Inverse Problems ◽  
Integral Differential Equation

Coefficient inverse problems are reformulated to a unified integral differential equation. The presented method of conversion of the considered inverse problems to a unified Volterra integral-differential equation gives an opportunity to distribute the acquired results also to analogous inverse problems for non-linear parabolic equations of different types.

Numerical homogenization of non-linear parabolic problems on adaptive meshes

2021 ◽  
Vol 425 ◽  
pp. 109903
Author(s):  
Manuela Bastidas ◽  
Carina Bringedal ◽  
Iuliu Sorin Pop ◽  
Florin Adrian Radu
Keyword(s):  
Parabolic Problems ◽  
Numerical Homogenization ◽  
Adaptive Meshes ◽  
Non Linear

On approximation theorems for controllability of non-linear parabolic problems

2007 ◽  
Vol 24 (1) ◽  
pp. 115-136
Author(s):  
Anil Kumar ◽  
Mohan C. Joshi ◽  
Amiya K. Pani
Keyword(s):  
Parabolic Problems ◽  
Approximation Theorems ◽  
Non Linear

scholarly journals LOWER BOUNDS FOR BLOW-UP TIME IN SOME NON-LINEAR PARABOLIC PROBLEMS UNDER NEUMANN BOUNDARY CONDITIONS

2011 ◽  
Vol 53 (3) ◽  
pp. 569-575 ◽  
Author(s):  
CRISTIAN ENACHE
Keyword(s):  
Boundary Conditions ◽  
Lower Bounds ◽  
Blow Up ◽  
Neumann Boundary ◽  
Initial Boundary ◽  
Neumann Boundary Conditions ◽  
Parabolic Problems ◽  
Non Linear ◽  
Inequality Technique ◽  
Initial Boundary Value

AbstractThis paper deals with some non-linear initial-boundary value problems under homogeneous Neumann boundary conditions, in which the solutions may blow up in finite time. Using a first-order differential inequality technique, lower bounds for blow-up time are determined.

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