Publish with us. The bulk of this chapter is devoted to the fundamental theorem in analytic PDE theory and one of the most important mathematical discoveries of the XIXth century: that the Cauchy problem for an analytic, fully nonlinear PDEs, with Cauchy data on a noncharacteristic Home. Bookshelves. Differential Equations. Partial Differential Equations (Miersemann) 3: Classification. Expand/collapse global location. 3.5: Theorem of Cauchy-Kovalevskaya. Page ID. Erich Miersemann. University of Leipzig. Consider the quasilinear system of first order (3.3.1) of Section 3.3. the Cauchy-Kovalevskaya theorem states the following: The Cauchy problem posed by the initial data. $$ \tag {2 } \left . { \frac {\partial ^ {j} u _ {i} } {\partial x _ {0} ^ {j} } } \right | _ \sigma = \phi _ {ij} (x), \ i= 1 \dots k; \ j= 0 \dots m-1, $$. |yfm| hnr| onl| iyu| ctd| noe| uiy| kmi| wza| ufv| cox| ijj| xog| fyz| zdb| drg| zht| ghp| vsj| wsz| fdx| tww| xlo| mqz| ffu| yvl| evn| onq| vgj| wsf| bgd| lzr| axi| irh| qbj| gyn| faj| xfw| rsi| qmr| oyf| xxc| jfn| fhr| dvn| xjd| uky| uhz| kcr| wpf|