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Premium Nonexistence results for higher order pseudo‐parabolic equations in the Heisenberg group
Author(s)
Alsaedi Ahmed,
Ahmad Bashir,
Kirane Mokhtar,
AlYami Maryem
Publication year2016
Publication title
mathematical methods in the applied sciences
Resource typeJournals
PublisherWiley
Sufficient conditions are obtained for the nonexistence of solutions to the nonlinear higher order pseudo‐parabolic equationu t + ( − Δ H ) mu t + ( − Δ H ) m u = | u | p , ( η , t ) ∈ H × ( 0 , ∞ ) ,whereΔ His the Kohn‐Laplace operator on the (2 N + 1)‐dimensional Heisenberg group H , m ≥1, p > 1. Then, this result is extended to the case of a 2 × 2‐system of the same type. Our technique of proof is based on judicious choices of the test functions in the weak formulation of the sought solutions. Copyright © 2016 John Wiley & Sons, Ltd.
Subject(s)biochemistry , chemistry , economics , finance , gene , group (periodic table) , heisenberg group , laplace transform , mathematical analysis , mathematical physics , mathematics , nonlinear system , operator (biology) , order (exchange) , physics , quantum mechanics , repressor , transcription factor
Language(s)English
SCImago Journal Rank0.719
H-Index65
eISSN1099-1476
pISSN0170-4214
DOI10.1002/mma.4052

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