Tersenov, Alkis S. Ultraparabolic equations and unsteady heat transfer. (English) Zbl 1073.35139 J. Evol. Equ. 5, No. 2, 277-289 (2005). Summary: The present paper is concerned with the boundary value problem for the equation \(\theta_t + \mathbf u\cdot \nabla\theta= \kappa \theta_{yy} + f\). Existence and uniqueness of the generalized solution are proved. Cited in 7 Documents MSC: 35K70 Ultraparabolic equations, pseudoparabolic equations, etc. 35K20 Initial-boundary value problems for second-order parabolic equations 35D05 Existence of generalized solutions of PDE (MSC2000) Keywords:Ultraparabolic equations; diffusion-convection equations; partial diffusivity PDFBibTeX XMLCite \textit{A. S. Tersenov}, J. Evol. Equ. 5, No. 2, 277--289 (2005; Zbl 1073.35139) Full Text: DOI