Prescribed conditions at infinity for parabolic equations

2014 ◽  
Vol 17 (01) ◽  
pp. 1450004 ◽  
Author(s):  
Shoshana Kamin ◽  
Fabio Punzo
Keyword(s):  
Parabolic Equations ◽  
Existence And Uniqueness ◽  
Nonlinear Parabolic Equations ◽  
Time Dependent ◽  
Bounded Solutions ◽  
Nonlinear Parabolic ◽  
Linear And Nonlinear ◽  
Conditions At Infinity

We are concerned with existence and uniqueness of the solutions for linear and nonlinear parabolic equations with time-dependent coefficients, in the class of bounded solutions satisfying appropriate conditions at infinity.

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.

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