2026-05-09T15:58:50.430Z http://ezaposleni.singidunum.ac.rs/rest/sciNaucniRezultati/oai

ezaposleni.singidunum.ac.rs/rest/sciNaucniRezultati/oai:2:2415 2014-04-20T11:38:02Z 2

Pseudo-analysis approach to nonlinear partial diffrential equations 2008 http://ezaposleni.singidunum.ac.rs/rest/sciNaucniRezultati/oai/record/2/2415 http://uni-obuda.hu/journal/Pap_13.pdf E. Pap An overview of methods of pseudo-analysis in applications on important classes of nonlinear partial di®erential equations, occurring in different fields, is given. Hamilton-Jacobi equations, specially important in the control theory, are for important models usually with non-linear Hamiltonian H which is also not smooth, e.g., the absolute value, min or max operations, where it can not apply the classical mathematical analysis. Using the pseudo-analysis with generalized pseudo-convolution it is possible to obtain solutions which can be interpreted in the mentioned classical way. Another important classes of nonlinear equations, where there are applied the pseudo-analysis, are the Burgers type equations and Black and Shole equation in option pricing. Very recent applications of pseudo-analysis are obtained on equations which model fluid mechanics (Navier-Stokes equation) and image processing (Perona and Malik equation). article 5 1 31 45 1785-8860 Acta Polytechnica Hungarica