Some Convergence Estimates for Semidiscrete Type Schemes for Time-Dependent Nonselfadjoint Parabolic Equations

1981 ◽  
Vol 37 (156) ◽  
pp. 327 ◽  
Author(s):  
Huang Mingyou ◽  
Vidar Thomee
Keyword(s):  
Parabolic Equations ◽  
Time Dependent ◽  
Convergence Estimates

scholarly journals On the Product of One-Parametric Semigroups of Operators as the Solution of Certain Time-Dependent Parabolic Equations

1996 ◽  
Vol 200 (2) ◽  
pp. 418-436
Author(s):  
Sándor Molnár ◽  
Ferenc Szigeti ◽  
Ferenc Szidarovszky ◽  
J.Carrera Ramirez
Keyword(s):  
Parabolic Equations ◽  
Time Dependent ◽  
Semigroups Of Operators

scholarly journals Prescribed conditions at infinity for fractional parabolic and elliptic equations with unbounded coefficients

2018 ◽  
Vol 24 (1) ◽  
pp. 105-127
Author(s):  
Fabio Punzo ◽  
Enrico Valdinoci
Keyword(s):  
Asymptotic Behavior ◽  
Parabolic Equations ◽  
Elliptic Equations ◽  
Existence And Uniqueness ◽  
Time Dependent ◽  
Uniqueness Of Solutions ◽  
Unbounded Coefficients ◽  
Conditions At Infinity

We investigate existence and uniqueness of solutions to a class of fractional parabolic equations satisfying prescribed point-wise conditions at infinity (in space), which can be time-dependent. Moreover, we study the asymptotic behavior of such solutions. We also consider solutions of elliptic equations satisfying appropriate conditions at infinity.

DIVERGENCE FORM PARABOLIC EQUATIONS ON TIME-DEPENDENT QUASICONVEX DOMAINS

2012 ◽  
Vol 23 (12) ◽  
pp. 1250128 ◽  
Author(s):  
HUILIAN JIA ◽  
LIHE WANG
Keyword(s):  
Parabolic Equations ◽  
A Priori Estimates ◽  
A Priori ◽  
Divergence Form ◽  
Time Dependent ◽  
Function Technique ◽  
Parabolic Boundary ◽  
Covering Lemma ◽  
Priori Estimates ◽  
Reifenberg Flat

In this paper, we show the [Formula: see text] regularity of divergence form parabolic equations on time-dependent quasiconvex domains. The objective is to study the optimal parabolic boundary condition for the Lp estimates. The time-dependent quasiconvex domain is a generalization of the time-dependent Reifenberg flat domain, and assesses some properties analog to the convex domain. As to the a priori estimates near the boundary, we will apply the maximal function technique, Vitali covering lemma and the compactness method.

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