10-24 Vitali Vougalter, Vitaly Volpert

On the solvability conditions for the diffusion equation with convection terms (182K, pdf) Jan 28, 10

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Abstract. Linear second order elliptic equation describing heat or mass diffusion and convection on a given velocity field is considered in R^3. The corresponding operator L may not satisfy the Fredholm property. In this case, solvability conditions for the equation Lu=f are not known. In this work, we derive solvability conditions in H^2(R^3) for the non self-adjoint problem by relating it to a self-adjoint Schroedinger type operator, for which solvability conditions are obtained in our previous work.

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