Partial Differential Equations with Minimal Smoothness and Applications
In recent years there has been a great deal of activity in both the theoretical and applied aspects of partial differential equations, with emphasis on realistic engineering applications, which usually involve lack of smoothness. On March 21-25, 1990, the University of Chicago hosted a workshop that...
| Other Authors: | , , , |
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| Format: | eBook |
| Language: | English |
| Published: |
New York, NY
Springer New York
1992, 1992
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| Edition: | 1st ed. 1992 |
| Series: | The IMA Volumes in Mathematics and its Applications
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- Weakly elliptic systems with obstacle constraints. Part I — a 2 × 2 model problem
- Some remarks on Widder’s theorem and uniqueness of isolated singularities for parabolic equations
- Generalized derivatives
- On null sets of P-harmonic measures
- Lifetime and heat kernel estimates in non-smooth domains
- On the Poisson kernel for nondivergence elliptic equations with continuous coefficients
- Some questions concerning harmonic measure
- The trace of the heat kernel in domains with nonsmooth boundaries
- A note on Lp estimates for parabolic systems in Lipschitz cylinders
- Intrinsic ultracontractivity and probability
- Uniqueness in the Dirichlet problem for time independent elliptic operators
- The spectral radius of the classical layer potentials on convex domains
- Unique continuation for degenerate elliptic equations
- Sharp estimates for harmonic measure in convex domains
- On the positive solutions of the free-boundary problem for Emden-Fowler type equations
- Absolute continuity of parabolic measure
- Some inequalities for the density of the area integral
- Restriction theorems and the Schrödinger multiplier on the torus
- Numerical analysis on non-smooth problems: Some examples