Some Selected Publications of William V. Smith

These papers are selected to give a flavor of Prof. Smith's research interests.

Arino, Ovide; Smith, W. V. A nonlinear model for migrating species. J. Math. Anal. Appl. 229 (1999), no. 1, 61--87.
Arino, O.; Smith, W. V. Migration in age structured population dynamics. Math. Models Methods Appl. Sci. 8 (1998), no. 5, 905--925.
Smith, William V. Wave motion in a conducting fluid with a boundary layer. I. Hilbert space formulation. J. Math. Anal. Appl. 188 (1994), no. 2, 680--699.
Smith,William V. Waves in a Perfectly Conducting Fluid Filling a Half-Space, IMA J. Appl. Math 43, 47-69.
Smith,William V. Energy Preserving Boundary Conditions for Plasma in a Half-Space, Proceedings of the International Conference on Theory and Applications of Differential Equations- Ohio University, 1988
Smith, William V. Wave motion in a conducting fluid with a layer adjacent to the boundary. II. Eigenfunction Expansions. J. Aust. Math. Soc. Ser. B [ANZIAM] 43 (2001), 195-236.
Smith, William V. The analysis of a model for wave motion in a liquid semiconductor: boundary interaction and variable conductivity. SIAM J. Math. Anal. 22 (1991), no. 2, 352--378.
Smith, W. V. A note on operator-valued measures and the Easton-Tucker integral. BYU Journal of Mathematics 1 (2006).
Smith, William V.; Tucker, Don H. Weak integral convergence theorems and operator measures. Pacific J. Math. 111 (1984), no. 1, 243--256.
Smith, William V., Convergence in Measure in Abstract Spaces. BYU Journal of Mathematics 2 (2007).
Smith, William V., et al., A mathematical analysis of a fish school model. Journal of Differential Equations 188 (2003) 406-446.
Smith, William V., The Spectral Representation of Singular Dispersive Symmetric Hyperbolic Systems, BYU Journal of Mathematics. 1 (2006)
Smith, William V. ,Strongly Propagative Systems, Generalized Nonselfadjoint Wave Equations and Their Steady-State Solutions.JMAA 127, 246-260.
Smith, William V. , Differential Operators in Banach Spaces with Densely Defined Spectral Measures.Houston J. Math. 8, 429-448.
Smith, William V. , Spectral Measures in Abstract Spaces BYU Journal of Mathematics 2 (2007), 1-63.
Smith, William V. , A local limiting absorption theorem in a singular dispersive medium. Quarterly J. Mech. Appl. Math. 39, 453-466.
Smith, William V. , Perturbation of invariant subspaces of the equations of elasticity: spectral theory. JMAA 121, 57-78.
Smith, William V. , The Kluvanek-Kantorovitz characterization of scalar operators in locally convex spaces, BYU Journal of Mathematics. 1 (2006)
Smith, William V. , Average Stability and Decay Properties of Forced Solutions of the Wave Propagation Problems of Classical Physics in Energy and Mean Norms JMAA 143, 148-186.
Smith,W. V., and John C. Hoover, The Cauchy problem for electromagnetic wave propagation in globally perturbed nonselfadjoint media,JMAA 109, 96-117.
Smith,W. V., and John C. Hoover, The limiting absorption principle and spectral theory for steady-state wave propagation in globally perturbed nonselfadjoint media, JMAA 97, 311-328.
Smith, W. V., Intrinsic vs. diffusive motion and their influence on fish survival (in preparation).
Smith, W. V., Sound in stratified, moving fluids, a spectral approach (in preparation).
Smith, W. V., Linear Symmetric Hyperbolic Systems, (Book, in preparation)
Smith, W. V., General theory of population vectors and environmental fields (in preparation).