Comportamento alla frontiera per soluzioni di equazioni ellittiche e paraboliche

Boundary value problems for second-order elliptic equations (35J25) Initial-boundary value problems for second-order parabolic equations (35K20) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Cites Work

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A backward Harnack inequality and Fatou theorem for nonnegative solutions of parabolic equations
The boundary correspondence under quasiconformal mappings
On the existence of boundary values for harmonic functions in several variables
Necessary and sufficient conditions for absolute continuity of elliptic- harmonic measure
Boundary behavior of harmonic functions in non-tangentially accessible domains
Second order parabolic equations in nonvariational form: Boundary Harnack principle and comparison theorems for nonnegative solutions
Hardy spaces and the Neumann problem in \(L^ p\) for Laplace's equation in Lipschitz domains
On the theory of harmonic functions of several variables. II: Behaviour near the boundary
The Dirichlet problem in non-smooth domains
Some properties of nonnegative solutions of parabolic differential operators
The Wiener test for degenerate elliptic equations
L'intégrale de Cauchy définit un opératuer borne sur \(L^ 2 \)pour les courbes lipschitziennes
Principle de Harnack à la frontière et théorème de Fatou pour un opérateur elliptique dans un domaine lipschitzien
Potential techniques for boundary value problems on \(C^1\)-domains
Estimates of harmonic measure
Construction of a singular elliptic-harmonic measure
Wiener's criterion for the heat equation
Estimates of Caloric Measure and the Initial-Dirichlet Problem for the Heat Equation in Lipschitz Cylinders
Wiener's Criterion for Parabolic Equations with Variable Coefficients and Its Consequences
Conditional Gauge and Potential Theory for the Schrodinger Operator
A Nonvariational Second Order Elliptic Operator with Singular Elliptic Measure
The local regularity of solutions of degenerate elliptic equations
Weighted norm inequalities for maximal functions and singular integrals
A harnack inequality approach to the regularity of free boundaries
A harnack inequality for parabolic differential equations
On the Boundary Values of Harmonic Functions
Positive Harmonic Functions on Lipschitz Domains
Boundary behavior of solutions of parabolic equations with discontinuous coefficients
Weighted Norm Inequalities for the Hardy Maximal Function
Temperatures in Several Variables: Kernel Functions, Representations, and Parabolic Boundary Values
On the Behaviour of Harmonic Functions at the Boundary

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