Construction of variational factors for quasilinear second order partial differential equations

Using our methodology the next results are delivered. For concrete types of quasi-linear partial differential equations (PDE) for which classical variational principle is fulfilled, are constructed in explicit form some variational factors. It has also been demonstrated the existence of some particular cases where the above mentioned solution does not exist. For certain linear PDE types such solutions are described. Concerning linear PDE hyperbolic and elliptic types, the solutions led to lower bounded functionals.

Publisher
Elsevier Science Publishers B.V., Amsterdam
Number of issue
1
Language
English
Pages
67-71
Status
Published
Volume
126
Year
2000
Organizations
  • 1 Peoples' Friendship University of Russia, 6, Miklukho-Maklaya Str., 117198, Moscow, Russian Federation
Keywords
Inverse problems; Problem solving; Variational techniques; Variational factors; Partial differential equations
Date of creation
19.10.2018
Date of change
19.10.2018
Short link
https://repository.rudn.ru/en/records/article/record/446/