Examples of parabolic problems with blowing-up derivatives
T Dlotko - Journal of Mathematical Analysis and Applications, 1991 - Elsevier
Journal of Mathematical Analysis and Applications, 1991•Elsevier
A number of parbolic problems with blowing-up space derivatives are described. Based
upon Theorem 1, the main result of the paper, further examples will also be constructed.
Examining the significance and sharpness of the “more than quadratic growth” condition for
the occurrence of the derivative blow-up it is shown that this condition is sufficient for a wide
class of equations described in Section 6.
upon Theorem 1, the main result of the paper, further examples will also be constructed.
Examining the significance and sharpness of the “more than quadratic growth” condition for
the occurrence of the derivative blow-up it is shown that this condition is sufficient for a wide
class of equations described in Section 6.
Abstract
A number of parbolic problems with blowing-up space derivatives are described. Based upon Theorem 1, the main result of the paper, further examples will also be constructed. Examining the significance and sharpness of the “more than quadratic growth” condition for the occurrence of the derivative blow-up it is shown that this condition is sufficient for a wide class of equations described in Section 6.
Elsevier