Filippov, V. M.; Mikailovna, S. P.; Gondo, Yake Construction of variational factors for quasilinear second order partial differential equations. (English) Zbl 1008.49028 Comput. Phys. Commun. 126, No. 1-2, 67-71 (2000). Summary: Using our method developed previously the following results are delivered. For concrete types of quasi-linear partial differential equations (PDEs) for which the classical variational principle is fulfilled, solutions are constructed in explicit form with some variational factors. It has also been demonstrated the existence of some particular cases where the above mentioned solutions does not exist. For certain linear PDE types such solutions are described. Concerning linear PDEs of hyperbolic and elliptic type, the solution, lead to lower bounded functionals. Cited in 1 Document MSC: 49N45 Inverse problems in optimal control 65M70 Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs Keywords:generalized inverse problem; quasi-linear partial differential equations; variational factors; bounded functionals PDFBibTeX XMLCite \textit{V. M. Filippov} et al., Comput. Phys. Commun. 126, No. 1--2, 67--71 (2000; Zbl 1008.49028) Full Text: DOI