Publications and Work in Progress

P. Guidotti, "Two Nonlinear Nonlocal Diffusions with Interesting Dynamics".
In preparation.

P. Guidotti, K. Solna, T. Egualada, "Small Time Asymptotics for Spread Options".
In preparation.

M. Webster, P. Guidotti, "Nonlinear Stability Analysis of a Two-Dimensional Diffusive Free Boundary Problem".
Submitted.

P. Guidotti, J. Lambers, "Two New Nonlinear Nonlocal Diffusions for Noise Reduction".
To appear in Journal of Mathematical Imaging and Vision.

P. Guidotti, "A New Well-posed Nonlinear Nonlocal Diffusion for Noise Reduction".
Submitted.

P. Guidotti, J. Lambers, "Eigenvalue Characterization and Computation for the Laplacian on general 2D domains". To appear in Numerical Functional Analysis and Optimization.

P. Guidotti, Singular Elliptic and Parabolic Problems and a Class of Free Boundary Problems.
Proceedings of ICIAM 2007, Zurich.

P. Guidotti, A new well-posed nonlinear nonlocal diffusion.
Proceedings of ICIAM 2007, Zurich.

P. Guidotti, "Numerical Approximation of Generalized Functions: Aliasing, the Gibbs Phenomenon and a Numerical Uncertainty Principle", To appear in Functional Analysis and Evolution Equations: Dedicated to Günther Lumer, Birkhäuser Basel (2007).

P. Guidotti, A Class of Free Boundary Problems with Onset of a new Phase.
SIAM J. on Math. Anal. Vol. 38 (6) 2007, 1981-2004.

P. Guidotti, Optimal Regularity for a Class Singular Cauchy Problems.
Journal of Differential Equations Vol. 232 (2) 2007 468-486.

P. Guidotti, J. Lambers, K. Solna, "1D Analysis of Wave Propagation in inhomogeneous media".
Numerical Functional Analysis and Optimization, Vol. 27 (1) 2006, 25-55.

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]