On a parabolic equation with a singular lower order term. Part II: The Gaussian bounds

1997 ◽  
Vol 46 (3) ◽  
pp. 0-0 ◽  
Author(s):  
Qi Zhang
Keyword(s):  
Parabolic Equation ◽  
Lower Order ◽  
Order Term ◽  
Lower Order Term ◽  
Gaussian Bounds

scholarly journals On the Stabilization Rate of Solutions of the Cauchy Problem for Nondivergent Parabolic Equations with Growing Lower-Order Term

2017 ◽  
Vol 63 (4) ◽  
pp. 586-598
Author(s):  
V N Denisov
Keyword(s):  
Cauchy Problem ◽  
Parabolic Equation ◽  
Half Space ◽  
Lower Order ◽  
Parabolic Equations ◽  
Initial Function ◽  
Order Term ◽  
Sufficient Conditions ◽  
Lower Order Term ◽  
The Cauchy Problem

In the Cauchy problem L1u≡Lu+(b,∇u)+cu-ut=0,(x,t)∈D,u(x,0)=u0(x),x∈RN, for nondivergent parabolic equation with growing lower-order term in the half-space D=RN×[0,∞), N⩾3, we prove sufficient conditions for exponential stabilization rate of solution as t→+∞ uniformly with respect to x on any compact K in RN with any bounded and continuous in RN initial function u0(x).

Elliptic equations with general singular lower order term and measure data

2015 ◽  
Vol 128 ◽  
pp. 391-411 ◽  
Author(s):  
Linda Maria De Cave ◽  
Francescantonio Oliva
Keyword(s):  
Lower Order ◽  
Elliptic Equations ◽  
Order Term ◽  
Lower Order Term ◽  
Measure Data
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