Publications and Work in Progress Books
P. Guidotti, P. Laurençot, C. Walker, "Analytic semigroups in weighted L1-spaces on the half-line generated by singular or degenerate operators", Preprint. P. Guidotti, "Extracting Manifold Information from Point Clouds", Preprint. P. Guidotti, "The Curve Shortening Flow for Curves of Finite Total (Absolute) Curvature", Preprint.
P. Guidotti, "Dimension Independent Data Sets Approximation and
Applications to Classification",
D. Agress, P. Guidotti, D. Yan, "The Smooth Extension Embedding Method with Chebyshev Polynomials"
P. Guidotti, S. Merino, "On Wiener's Violent Oscillations,
Popov's curves and Hopf's Supercritical Bifurcation for a Scalar
Heat Equation",
P. Guidotti, S. Merino, "On the Maximal Parameter Range of Global
Stability for a Nonlocal Thermostat Model",
D. Agress, P. Guidotti, "The Smooth Extension Embedding Method",
P. Guidotti, "Using an Encompassing Periodic Box to Perform Numerical
Calculations on General Domains",
T. Ma, K. E. Wood, D. Xu, P. Guidotti, A. Pantano, N. L. Komarova,
"Admission predictors for success in a mathematics graduate program",
P. Guidotti, C. Walker, "On a model for a sliding droplet:
Well-posedness and stability of translating circular solutions",
O. Bruno, P. Guidotti, M.B. Neiva, "Improving LBP and its variants
using anisotropic diffusion"
P. Guidotti, "Domain Variations for Moving Boundary Problems",
P. Guidotti and Y. Shao, "Wellposedness of a nonlocal nonlinear diffusion equation of image processing",
P. Guidotti, "A Class Of Elliptic Equations with Interior Degeneration",
P. Guidotti, "Equilibria and Their Stability for a droplet model",
G.A. Wirth, D.S. Mowlds, P. Guidotti, A. Salibian, A. Nguyen,
K. Paydar, "A cellular dermal matrix fenestration and their effect on
breast shape: a mathematical model as proof of concept",
J. Escher, P. Guidotti, "Local Well-posedness for a quasi-stationary droplet model",
P. Guidotti, "Anisotropic Diffusions of Image Processing From
Perona-Malik on",
J. Escher, P. Guidotti, C. Walker, "Two-Phase Flow in Rotating Hele-Shaw Cells with Coriolis Effects".
P. Guidotti, Y. Kim, and J. Lambers, "Image restoration with a new class of
forward-backward-forward diffusion equations of Perona-Malik type with
Applications to Satellite Image Enhancement".
P. Guidotti, "A backward-forward regularization of the Perona-Malik equation".
P. Guidotti, "A family of nonlinear diffusions connecting Perona-Malik to standard
diffusion".
P. Guidotti, K. Longo, "Two Enhanced Fourth Order Diffusion Models for Image Denoising".
P. Guidotti, K. Longo, "Well-posedness for a Class of Fourth Order Diffusions of
Image Processing".
M. Webster, P. Guidotti, "Nonlinear Stability Analysis of a Two-Dimensional Diffusive
Free Boundary Problem".
P. Guidotti, "A New Well-posed Nonlinear Nonlocal Diffusion for Noise Reduction".
M. Webster, P. Guidotti, "Boundary Dynamics of a two-dimensional diffusive free boundary
problem".
P. Guidotti, "Some Anisotropic Diffusions".
P. Guidotti, "A New Nonlocal Nonlinear Diffusion of Image Processing".
P. Guidotti, J. Lambers, "Two New Nonlinear Nonlocal Diffusions for Noise Reduction".
P. Guidotti, J. Lambers, "Eigenvalue Characterization and Computation for the Laplacian on general 2D domains", Numerical Functional Analysis and Optimization Vol. 29 (5-6) 2008, 507-531.
P. Guidotti, "Numerical Approximation of Generalized Functions: Aliasing, the Gibbs Phenomenon and a Numerical Uncertainty Principle", Functional Analysis and Evolution Equations: Dedicated to Günther Lumer, Birkhäuser Basel 2008, 331-356.
P. Guidotti, A Class of Free Boundary Problems with Onset of a new Phase.
P. Guidotti, Optimal Regularity for a Class Singular Cauchy Problems.
P. Guidotti, J. Lambers, K. Solna, "1D Analysis of Wave Propagation in
inhomogeneous media".
P. Guidotti, "Semiclassical Fundamental Solutions", Abstract and Applied Analysis, no. 1 2005, 45-57 R. Pajarola, M. Sainz, P. Guidotti, "Confetti: Object-Space Point Blending and Splatting", IEEE Transactions on Visualization and Computer Graphics, Vol. 10 (5) 2004, 598-608. P. Guidotti, "Elliptic and Parabolic Problems in Unbounded Domains", Mathematische Nachrichten, 272 (2004), pp. 32-44. R. Pajarola, M. Sainz, P. Guidotti, "Object-Space Blending and Splatting", Sketches & Applications Catalog SIGGRAPH 2003. ACM, 2003 P. Guidotti, "Problems in Unbounded Cylindrical Domains", Proceedings of the conference "Elliptic and Parabolic Problems: Recent Advances", NTHU, Taiwan (2003). P. Guidotti, "A new first-kind boundary integral formulation for the the Laplace Dirichlet-to-Neumann map in 2D", Journal of Computational Physics 190 2003, 325-345. P. Guidotti, "2-D Free Boundary Value Problem with Onset of a Phase and Singular Elliptic Boundary Value Problems", Journal of Evolution Equations, Vol. 2 (4) 2002, 395-424. P. Guidotti, D. Bernstein, "Modeling and Analysis of Hysteresis Phenomena in Electrostatic Zipper Actuators", Proceedings of Modeling and Simulation of Microsystems 2001, Hilton Head Island, SC, 306-309. D. Bernstein, P. Guidotti, J. Pelesko, "Analytical and Numerical Analysis of Electrostatically Actuated MEMS Devices", Proceedings of Modeling and Simulation of Microsystems 2000, San Diego, CA, 489-492. P. Guidotti, S. Merino, "Gradual Loss of Positivity and Hidden Invariant Cones in a Scalar Heat Equation", Differential and Integral Equations, Vol. 13 (10-12) 2000, pp. 1551-1568. [DVI][PS] P. Guidotti, "Diffusion in glassy polymers: Sorption of a finite amount of swelling solvent", Nonlinear Differential Equations and Applications 6 (3) 1999, 297-317. P. Guidotti, J. Pelesko, "Transient Instability in Case II Diffusion", Journal of Polymer Science, Part B: Polymer Physics, Vol. 36 (16) 1998, 2941-2947 (1998) P. Guidotti, "Singular Quasilinear Abstract Cauchy Problems", Nonlinear Analysis TMA 32 (5) 1998, 667-695. P. Guidotti, S. Merino, "Hopf Bifurcation in a Scalar Reaction Diffusion Equation", Journal of Differential Equations 140 (1) 1997, 209-222. P. Guidotti, "Diffusion in glassy polymers: A free boundary value problem", Advances in Mathematical Sciences and Applications 7 (2) 1997, 675-693 (1997). [DVI][PS] P. Guidotti, M. Hieber, "An integral equation arising in the study of above threshold photodetachment", Helvetica Physica Acta 68 (7-8) 1995, 627-634. [DVI][PS] |
|