论文信息 - Uniqueness of solutions to a viscous diffusion equation - 字舞流文

Uniqueness of solutions to a viscous diffusion equation

We prove the uniqueness of solutions to the initial boundary value problem of a viscous diffusion equation by means of a regularizing technique based on elliptic operators.

Zejia Wang | Jingxue Yin

[1] Ralph E. Showalter. Pseudo-Parabolic Partial Differential Equations , 1968 .

[2] M. Gurtin,et al. On a theory of heat conduction involving two temperatures , 1968 .

[3] Ramón Quintanilla,et al. Uniqueness in exterior domains for the generalized heat conduction , 2002, Appl. Math. Lett..

[4] Yin Jingxue,et al. On The Uniqueness and Stability of BV Solutions for Nonlinear Diffusion Equations , 1990 .

[5] Ralph E. Showalter,et al. Pseudoparabolic Partial Differential Equations , 1970 .

[6] Cornelius O. Horgan,et al. Anti-Plane Shear Deformations in Linear and Nonlinear Solid Mechanics , 1995, SIAM Rev..

[7] J. Saut,et al. Hyperbolicity and change of type in the flow of viscoelastic fluids. Technical summary report , 1984 .

[8] J. Saut,et al. Hyperbolicity and change of type in the flow of viscoelastic fluids , 1985 .

[9] Amy Novick-Cohen,et al. Stable patterns in a viscous diffusion equation , 1991 .