Nonlinear abstract boundary value problems modelling atmospheric dispersion of pollutants

作者：Shakhmurov Veli B^*; Shahmurova Aida

来源：Nonlinear Analysis: Real World Applications , 2010, 11(2): 932-951.

DOI：10.1016/j.nonrwa.2009.01.037

• Boundary value problems
• Differential-operator equations
• Banach space-valued functions
• Operator-valued multipliers
• Interpolation of Banach spaces
• Semigroup of operators
• Atmospheric dispersion of pollutants

The boundary value problems for linear and nonlinear degenerate elliptic differential-operator equations of a second order are studied. The principal parts of these problems possess variable coefficients and corresponding differential operators are non-self-adjoint. Several conditions for the separability, R-positivity and the fredholmness in abstract L(p)-spaces are given. By using these results the existence, uniqueness and the maximal regularity of boundary value problems for nonlinear degenerate parabolic differential-operator equations are established. In applications mixed boundary value problems for degenerate diffusion systems, appearing in the atmospheric dispersion of pollutants are studied.

• 出版日期2010-4