TY  - JOUR
ID  - Prykarpatska2005
LB  - Prykarpatska2005
AU  - Prykarpatska, Natalia K.
AU  - Pytel-Kudela, Marzena
TI  - On the structure of characteristic surfaces related with partial differential equations of first and higher orders. Part 1
ST  - On the structure of characteristic surfaces related with partial differential equations of first and higher orders. Part 1
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2005
VL  - 25
IS  - 2
SP  - 299
EP  - 306
DO  - http://dx.doi.org/10.7494/OpMath.2005.25.2.299
UR  - http://dx.doi.org/10.7494/OpMath.2005.25.2.299
AB  - The geometric structure of characteristic surfaces related with partial differential equations of first and higher orders is studied making use the vector field technique on hypersurfaces. It is shown, that corresponding characteristics are defined uniquely up to some smooth tensor fields, thereby supplying additional information about the suitable set of their solutions. In particular, it may be very useful for studying asymptotic properties of solutions to our partial differential equations under some boundary conditions.
KW  - characteristic surface
KW  - vector fields
KW  - tangency
KW  - Monge cone
KW  - tensor fields
SN  - 1232-9274
ER  -