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dc.creatorYASINOVSKAYA, VICTORIA
dc.date.accessioned 2007-05-09T19:34:08Z
dc.date.available 2007-05-09T19:34:08Z
dc.date.issued 1983
dc.identifier.urihttps://hdl.handle.net/1911/15795
dc.description.abstract Consider the Cauchy problem for the system of nonlinear partial differential equations (DIAGRAM, TABLE OR GRAPHIC OMITTED...PLEASE SEE DAI) where x(' )(ELEM)(' )(//R) x (//R)('N), D('m)u = {D('(alpha))u(VBAR) (VBAR)(alpha)(VBAR) = (VBAR)(alpha)(,0) + (.)(.)(.) + (alpha)(,N)(VBAR) (LESSTHEQ) m}, e(' )=(' )(e(,1), (.)(.)(.) , e(,n)), u = (u(,1), (.)(.)(.) , u(,n)), and suppose: (a) e(,k)(x,y)(' )(ELEM)(' )C('(INFIN))((//R) x (//R)('N) x (//R)('r) x (.)(.)(.) x (//R)('r)) n times where y(' )=(' )D('m)u, (DIAGRAM, TABLE OR GRAPHIC OMITTED...PLEASE SEE DAI) (b) the matrix (DIAGRAM, TABLE OR GRAPHIC OMITTED...PLEASE SEE DAI) is invertible for (alpha)(,0) = m, where y(,j(alpha)) = D('(alpha))u(,j), (c) the hyperbolicity condition is satisfied, i.e. (DIAGRAM, TABLE OR GRAPHIC OMITTED...PLEASE SEE DAI)
dc.format.mimetype application/pdf
dc.language.iso eng
dc.subjectMathematics
dc.title CAUCHY PROBLEM FOR NONLINEAR HYPERBOLIC SYSTEMS OF PARTIAL DIFFERENTIAL EQUATIONS
dc.type.genre Thesis
dc.type.material Text
thesis.degree.department Mathematics
thesis.degree.discipline Natural Sciences
thesis.degree.grantor Rice University
thesis.degree.level Doctoral
thesis.degree.name Doctor of Philosophy
dc.identifier.citation YASINOVSKAYA, VICTORIA. "CAUCHY PROBLEM FOR NONLINEAR HYPERBOLIC SYSTEMS OF PARTIAL DIFFERENTIAL EQUATIONS." (1983) Diss., Rice University. https://hdl.handle.net/1911/15795.


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