scholarly journals Blow-up rates for a fractional heat equation

2021 ◽  
pp. 1
Author(s):  
R. Ferreira ◽  
A. de Pablo
Keyword(s):  
Heat Equation ◽  
Blow Up ◽  
Fractional Heat Equation

scholarly journals Infinite time blow-up for the fractional heat equation with critical exponent

2018 ◽  
Vol 375 (1-2) ◽  
pp. 361-424 ◽  
Author(s):  
Monica Musso ◽  
Yannick Sire ◽  
Juncheng Wei ◽  
Youquan Zheng ◽  
Yifu Zhou
Keyword(s):  
Heat Equation ◽  
Critical Exponent ◽  
Blow Up ◽  
Infinite Time ◽  
Fractional Heat Equation

scholarly journals Determination of source term for fractional heat equation on the sphere

2020 ◽  
Vol 24 (Suppl. 1) ◽  
pp. 361-370
Author(s):  
Nguyen Phuong ◽  
Tran Binh ◽  
Nguyen Luc ◽  
Nguyen Can
Keyword(s):  
Diffusion Equation ◽  
Heat Equation ◽  
Exact Solutions ◽  
Source Term ◽  
Fractional Diffusion ◽  
Inverse Source Problem ◽  
Fractional Heat Equation ◽  
Ill Posed ◽  
Time Fractional Diffusion Equation

In this work, we study a truncation method to solve a time fractional diffusion equation on the sphere of an inverse source problem which is ill-posed in the sense of Hadamard. Through some priori assumption, we present the error estimates between the regularized and exact solutions.

scholarly journals Total blow-up of a quasilinear heat equation with slow-diffusion for non-decaying initial data

2018 ◽  
Vol 144 (3) ◽  
pp. 287-297
Author(s):  
Amy Poh Ai Ling ◽  
Masahiko Shimojō
Keyword(s):  
Initial Data ◽  
Heat Equation ◽  
Blow Up ◽  
Slow Diffusion
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