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Volume 28, Issue 1
The Third Initial-Boundary Value Problem for a Class of Parabolic Monge-Ampère Equations

Boqiang Lü & Fengquan Li

Commun. Math. Res., 28 (2012), pp. 75-90.

Published online: 2021-05

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  • Abstract

For the more general parabolic Monge-Ampère equations defined by the operator $F(D^2u + σ(x))$, the existence and uniqueness of the admissible solution to the third initial-boundary value problem for the equation are established. A new structure condition which is used to get a priori estimate is established.

  • Keywords

parabolic Monge-Ampère equation, admissible solution, the third initial-boundary value problem.

  • AMS Subject Headings

35K55, 35A05

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CMR-28-75, author = {Lü , Boqiang and Li , Fengquan}, title = {The Third Initial-Boundary Value Problem for a Class of Parabolic Monge-Ampère Equations}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {28}, number = {1}, pages = {75--90}, abstract = {

For the more general parabolic Monge-Ampère equations defined by the operator $F(D^2u + σ(x))$, the existence and uniqueness of the admissible solution to the third initial-boundary value problem for the equation are established. A new structure condition which is used to get a priori estimate is established.

}, issn = {2707-8523}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cmr/19066.html} }
TY - JOUR T1 - The Third Initial-Boundary Value Problem for a Class of Parabolic Monge-Ampère Equations AU - Lü , Boqiang AU - Li , Fengquan JO - Communications in Mathematical Research VL - 1 SP - 75 EP - 90 PY - 2021 DA - 2021/05 SN - 28 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cmr/19066.html KW - parabolic Monge-Ampère equation, admissible solution, the third initial-boundary value problem. AB -

For the more general parabolic Monge-Ampère equations defined by the operator $F(D^2u + σ(x))$, the existence and uniqueness of the admissible solution to the third initial-boundary value problem for the equation are established. A new structure condition which is used to get a priori estimate is established.

Boqiang Lü & Fengquan Li. (2021). The Third Initial-Boundary Value Problem for a Class of Parabolic Monge-Ampère Equations. Communications in Mathematical Research . 28 (1). 75-90. doi:
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