Memoirs of the American Mathematical Society
1998;
92 pp;
Softcover
MSC: Primary 35;
Secondary 34
Print ISBN: 978-0-8218-0784-2
Product Code: MEMO/134/636
List Price: $48.00
AMS Member Price: $28.80
MAA Member Price: $43.20
Electronic ISBN: 978-1-4704-0225-9
Product Code: MEMO/134/636.E
List Price: $48.00
AMS Member Price: $28.80
MAA Member Price: $43.20
Nonlinear Eigenvalues and Analytic-Hypoellipticity
Share this pageChing-Chau Yu
This work studies the failure of analytic-hypoellipticity (AH) of two partial differential operators. The operators studied are sums of squares of real analytic vector fields and satisfy Hormander's condition; a condition on the rank of the Lie algebra generated by the brackets of the vector fields. These operators are necessarily \(C^\infty\)-hypoelliptic. By reducing to an ordinary differential operator, the author shows the existence of nonlinear eigenvalues, which is used to disprove analytic-hypoellipticity of the original operators.
Readership
Research mathematicians interested in smoothness/regularity of solutions of PDE.