TY - JOUR
T1 - Maximum principle for time-fractional parabolic equations with a reaction coefficient of arbitrary sign
AU - Kopteva, Natalia
N1 - Publisher Copyright:
© 2022 The Author(s)
PY - 2022/10
Y1 - 2022/10
N2 - We consider time-fractional parabolic equations with a Caputo time derivative of order α∈(0,1). For such equations, we give an elementary proof of the weak maximum principle under no assumptions on the sign of the reaction coefficient. This proof is also extended for weak solutions, as well as for various types of boundary conditions and variable-coefficient variable-order multiterm time-fractional parabolic equations.
AB - We consider time-fractional parabolic equations with a Caputo time derivative of order α∈(0,1). For such equations, we give an elementary proof of the weak maximum principle under no assumptions on the sign of the reaction coefficient. This proof is also extended for weak solutions, as well as for various types of boundary conditions and variable-coefficient variable-order multiterm time-fractional parabolic equations.
KW - Reaction coefficient of arbitrary sign
KW - Subdiffusion,
KW - Time-fractional parabolic equations
KW - Weak maximum principle
KW - Weak solutions
UR - http://www.scopus.com/inward/record.url?scp=85131373433&partnerID=8YFLogxK
U2 - 10.1016/j.aml.2022.108209
DO - 10.1016/j.aml.2022.108209
M3 - Article
AN - SCOPUS:85131373433
SN - 0893-9659
VL - 132
JO - Applied Mathematics Letters
JF - Applied Mathematics Letters
M1 - 108209
ER -