| Report No. | Author | Title |
| 15 | Bramble, Pasciak, Vassilevski | Computational Scales of Sobolev Norms with Application to Preconditioning |
| 16 | Bramble, Pasciak, Vassilev | Uzawa Type Algorithms for Nonsymmetric Saddle Point Problems |
| 17 | Hyvönen | Numerical Computation of the Nevanlinna Characteristic Functions |
| 19 | Brezzi, Hughes, Marini, Russo, Süli | A Priori Errof Analysis of a Finite Element Method with Residual-Free Bundles for Advection Dominated Equations |
| 20 | Nochetto, Savare, Verdi | A Posteriori Error Estimates for Variable Time-Step Discretizations of Nonlinear Evolution Equations |
| 22 | Szepessy | Dynamics and Stability of a Weak Detonation Wave |
| 23 | D'Yakovon | The Dirichlet Conditions and Related Natural Boundary Conditions in Strenghened Sobolev Spaces for Parabolic Problems with Memory |
| 24 | Yong, Zumbrun | Existence of Relaxation Shock Profiles for Hyperbolic Conservation Laws |
| 25 | Nikolova, Axelsson | Uniform in ... Convergence of Defect-Correction Method for Convection-Diffusion Problems |
| Report No. | Author | Title |
| 1 | Goussarov, Polyak, Viro | Finite Type Invariants of Classical and Virtual Knots |
| 2 | Flato, Sternheimer | The Deformation Programme in Physical Theories: Usual and Unusual Deformation Quantization; Singelton Physics |
| 3 | Ekholm | Knots and Bernoulli Numbers |
| 4 | Kauffman | Virtual Knot Theory |
| 5 | Rajeev | Bound States in Models of Asymptotic Freedom |
| 6 | Kauffman | Functional Integration and the Kontsevich Integral |
| 7 | Rajeev | Bound States in Models of Asymptotic Freedom |
| 8 | Turgut | Classical Mechanics and Geometric Quantization on an Infinite Dimensional Disc and Grassmannian |
| 9 | Gorsky, Nekrasov, Rubtsov | Hilbert Schemes, Separated Variables, and D-Branes |
| 10 | Konechny, Schwarz | BPS States on Noncommutative Tori and Duality |
| 11 | Konechny, Schwarz | Supersymmetry Algebra and BPS States of Super Yang-Mills Theories on Noncommutative Tori |
| 12 | Recknage, Schomerus | Moduli Spaces of D-Branes in CFT-Backgrounds |
| 13 | Schomerus | D-Branes and Deformation Quantization |
| 14 | Bershadksy, Zhukov, Vaintrop | PSL (n | n) Sigma Model as a Conformal Field Theory |
| 15 | Ekholm | Invariants of Generic Immersions and Bernoulli Numbers |
| 16 | Retakh, Reutenauer, Vaintrob | Noncommutative Rational Functions and Farber's Invariants of Boundary Links |
| 17 | Schwarz | Quantum Observables, Lie-Algebra Homology and TQFT |
| 18 | Astashkevich, Schwarz | Projective Modules over Non-Commutative Tori: Classification of Modules with Constant Curvature Connection |
| 19 | Rajeev | Derivation of the Hadronic Structure Functions from Quantum Chromodynamics |
| 20 | H.Murakami, J.Murakami | The Colored Jones Polynomials and The Simplicial Volume of a Knot |
| 21 | Kärki | On Path Integral Localization and the Laplacian, The Thesis |
| Report No. | Author | Title |
| 1 | Manfredi, Stroffolini | A Uniqueness Result for Hamilton-Jacobi Equations in the Heisenberg Group |
| 2 | Aikawa | Boundary Harnack Principle and Martin Boundary for a Uniform Domain |
| 3 | Lundh | Geodesics in Riemann Surfaces and their Corresponding Limit Points |
| 4 | Gutlyanskii, Martio | Rotation Estimates and Spirals |
| 5 | Nochetto, Wahlbin | Positivity Preserving Finite Element Approximat |
| 6 | Kinnunen, Shanmugalingam | Quasi-Minimizers on Metric Spaces |
| 7 | Juutinen | Absolutely Minimizing Lipschitz Extensions in a Metric Space |
| 8 | Apashkinskaya, Nazarov | Linear Tow-Phase Venttsel Problems |
| 9 | Aharonov, Shapiro, Solynin | A Minimal Area Problem in Conformal Mapping II |
| 10 | Shanmugalingam | Some Convergence Results for p-Harmonic Functions on Metric Measure Spaces |
| 11 | Latvala | On the Continuity of Weak Solutions of Non-Uniformly Elliptic PDE's |
| 12 | Hajlasz | Sobolev Mappings, Co-Area Formula and Related Topics |
| 13 | Hajlasz, Maly | Approximation of Nonlinear Expressions Involving Gradient in Sobolev Spaces |
| 14 | Juutinen, Lindqvist, Manfredi | On the Equivalence of Viscosity Solutions and Weak Solutions for a Quasilinear Equation |
| 15 | Apushkinskaya, Nazarov | Quasilinear Two-Phase Venttsel Problems |
| 16 | Ladyzhenskaya | On Mulitiplications in Hölder Spaces with Nonhomogeneous Metric |
| 17 | Bandle, Benguria | The Brezis-Nirenberg Problem on S3 |
| 18 | Capogna, Garofalo, Nheiu | Properties of Harmonic Measures in the Dirichlet Problem for Certain Nilpotent Lie Groups |
| 19 | Garofalo, Vassilev | Regularity Near the Characteristic Set in the Non-Linear Dirichlet Problem and Conformal Geometry of Sub-Laplacians on Carnot Groups |
| 20 | Garofalo, Vassilev | Symmetry Properties of Positive Entire Solutions of Yamabe Type Equations on Groups of Heisenberg Type |
| 21 | Garofalo, Sartori | Symmetry in a Free Boundary Problem for Degenerate Parabolic Equations on Unbounded Domains |
| 22 | Fontes | Initial-Boundary Value Problems in Parabolic Equations |
| 23 | Markina | Poletskii Lemma for the Mapping with Bounded Distortion on the Heisenberg Group |
| 24 | Adams, Lenhart | An Obstacle Control Problem with a Source Term |
| 25 | Shahgholian, Uraltseva | Regularity Properties of a Free Boundary Near Contact Points with the Fix Boundary |
| 26 | Juutinen, Lindqvist, Manfredi | The Infinity Laplacian: Examples and Observations |
| 27 | Danielli, Garofalo, Salsa | Optimal Regularity and Non-Degeneracy of the Free Boundary in the Sub-Elliptic Obstacle Problem |
| 28 | Auscher, Hofmann, Lewis, Tchamitchian | On the Analyticity of Kato's Square Root Operators |
| 29 | Jacobsson | The Bergman Kernel, the Friedrichs Operator, and the Biharmonic Green Function |
| 30 | Capogna, Garofalo | Blow-up Analysis for Local Minimizers of the Calculus of Variations Via Hypoellipticity for Linear Systems. Part I: Carnot Groups of Step Two |
| 31 | Gardiner, Hansen | Boundary Sets Where Harmonic Functions May Become Infinite |
| 32 | Fuglede | Harmonic Maps Between Riemannian Polyhedra |
| 33 | Maz'ya, Verbitsky | The Schrödinger Operator on the Energy Space: Bundedness and Compactness Criteria |
| 34 | Serrin, Zou | Cauchy-Liouville and Universal Bundedness Theorems for Quasilinear Elliptic Equations and Inequalities |
| 35 | Gustafsson, Putinar | Analytic Continuation of Cauchy and Exponential Transforms |
| 36 | Efendiev, Wendland | On Boundary-Layer Type Solutions of Nonlinear Riemann-Hilbert Problems and Related Geometric Structures |
| 37 | Essen, Shea, Stanton | Sharp L logalpha L Inequalities for Conjugate Functions |
| 38 | Maz'ya | The Wiener Test for Higher Order Elliptic Equations |
| 39 | Bandle, Cheng, Porru | Boundary Blow-up in Semilinear Elliptic Problems with Singular Weights at the Boundary |
| 40 | Aikawa, Lundh, Mizutani | Martin Boundary of a Fractal Domain |
| 41 | Björn, Macmanus, Shanmugalingam | Fat Sets and Pointwise Boundary Estimates for p-harmonic Functions in Metric Spaces |
| 42 | Arcozzi, Björn | Dominating Sets for Analytic and Harmonic Functions and Completeness of Weighted Bergman Spaces |
| 43 | Essen | On Sharp Constants in Weak Type (p,p)-Inequalities, 2 < p < infinity |