Partial Differential Equations with Minimal Smoothness and Applications

12.03.1992

Englisch

9780387977744

Springer US

The IMA Volumes in Mathematics and its Applications

Nein

220

Gebundene Ausgabe

42

partial differential equation, linear optimization, Smooth function, Minimum, Derivative, measure, differential equation

PBK - Mathematische Analysis, allgemein PBKS - Numerische Mathematik PDE - Mathematik für Wissenschaftler PN - Chemie UYQ - Künstliche Intelligenz

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.

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