{"product_id":"the-feedback-effects-in-illiquid-markets-von-nadezda-kristensson","title":"The feedback effects in illiquid markets","description":"\u003cp\u003eThe master thesis is devoted to an analysis of  equilibrium or reaction-function models in  illiquidity  markets which was suggested by K. Ronnie Sircar and  George Papanicolaou. The main equation is a  nonlinear  equation which is a perturbation of Black-Scholes  model. By using Lie group analysis to determine the  symmetry group of this equation. We present the Lie  algebra of the Lie point transformations, the  complete  symmetry group and invariants. We use these  invariants  to reduce the PDE under investigation to ordinary  differential equations (ODE). Solutions of these  ODE''s  are subgroup-invariant solutions of the non-linear  Black-Scholes equation. For some classes of those  ODE''s  we find exact solutions and studied their properties.\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783838322131\"\u003e\u003ch3\u003eSircar-Papanicolaou model,Methods of Lie groups analysis\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Softcover - 9783838322131","offer_id":39498918953053,"sku":"9783838322131","price":49.0,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/910c6808-f758-4dd3-b18e-babde7e7ad84.jpg?v=1758345492","url":"https:\/\/shop.autorenwelt.de\/products\/the-feedback-effects-in-illiquid-markets-von-nadezda-kristensson","provider":"Autorenwelt Shop","version":"1.0","type":"link"}