Nonexistence results for higher order pseudo-parabolic equations in the Heisenberg group

作者：Alsaedi Ahmed; Ahmad Bashir; Kirane Mokhtar; Al Yami Maryem

来源：Mathematical Methods in the Applied Sciences, 2017, 40(4): 1280-1287.

DOI：10.1002/mma.4052

• nonexistence
• higher order nonlinear pseudo‐parabolic equation
• systems of pseudo‐parabolic equations
• Heisenberg group

Sufficient conditions are obtained for the nonexistence of solutions to the nonlinear higher order pseudo‐parabolic equation u t + ( ? Δ H ) m u t + ( ? Δ H ) m u = | u | p , ( η , t ) ∈ H × ( 0 , ∞ ) ,(#br)where Δ H is the Kohn‐Laplace operator on the (2 N + 1)‐dimensional Heisenberg group H , m ≥1...

• 出版日期2017-3-15