Type
ArticleKAUST Grant Number
KUK-I1-007-43Date
2009-10Permanent link to this record
http://hdl.handle.net/10754/599033
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We discuss existence and uniqueness of solutions for a one-dimensional parabolic evolution equation with a free boundary. This problem was introduced by Lasry and Lions as description of the dynamical formation of the price of a trading good. Short time existence and uniqueness is established by a contraction argument. Then we discuss the issue of global-in-time-extension of the local solution which is closely related to the regularity of the free boundary. We also present numerical results. © 2009 World Scientific Publishing Company.Citation
MARKOWICH PA, MATEVOSYAN N, PIETSCHMANN J-F, WOLFRAM M-T (2009) ON A PARABOLIC FREE BOUNDARY EQUATION MODELING PRICE FORMATION. Mathematical Models and Methods in Applied Sciences 19: 1929–1957. Available: http://dx.doi.org/10.1142/S0218202509003978.Sponsors
This publication is based on work supported by Award No. KUK-I1-007-43 of Peter Markowich, made by King Abdullah University of Science and Technology (KAUST) and by the Leverhulme Trust through the Research Grant entitled "KINETIC AND MEAN FIELD PARTIAL DIFFERENTIAL MODELS FOR SOCIO-ECONOMIC PROCESSES" (PI Peter Markowich).Publisher
World Scientific Pub Co Pte Ltae974a485f413a2113503eed53cd6c53
10.1142/S0218202509003978