6533b7d2fe1ef96bd125e949

RESEARCH PRODUCT

A Method of Conversion of some Coefficient Inverse Parabolic Problems to a Unified Type of Integral-Differential Equation

Daiga ZaimeJanis RimshansArtur MedvidSharif E. GuseynovJevgenijs Kaupuzs

subject

symbols.namesakeInverse scattering transformDifferential equationMathematical analysisInverse scattering problemGeneral EngineeringsymbolsInverseInverse problemIntegral equationVolterra integral equationParabolic partial differential equationMathematics

description

Coefficient inverse problems are reformulated to a unified integral differential equation. The presented method of conversion of the considered inverse problems to a unified Volterra integral-differential equation gives an opportunity to distribute the acquired results also to analogous inverse problems for non-linear parabolic equations of different types.

https://doi.org/10.4028/www.scientific.net/amr.222.353