Exceptional Boundary Sets for Solutions of Parabolic Partial Differential Inequalities

DOI10.2307/2000814zbMath0685.35048OpenAlexW4238361328MaRDI QIDQ4735514

R. Z. Yeh, Gerald N. Hile

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2000814

zbMATH Keywords

exceptional setHausdorff dimensionpositivity of solutions on the boundary

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Second-order parabolic equations (35K10)

Cites Work

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• On two theorems of Phragmén-Lindelöf for linear elliptic and parabolic differential equations of the second order
• Phragmén-Lindelöf principles for solutions of elliptic differential inequalities
• Barriers on cones for uniformly elliptic operators
• Zum Phragmen-Lindelöfschen Prinzip bei partiellen Differentialgleichungen
• Extremal barriers on cones with Phragmén-Lindelöf theorems and other applications
• A phragmén-lindelöf theorem in harmonic analysis and its application to some questions in the theory of elliptic equations
• Behaviour of solutions of elliptic differential inequalities near a point of discontinuous boundary data
• Phragmen-Lindelof Theorems for Second Order Quasi-Linear Elliptic Partial Differential Equations
• Phragmen-Lindelof Theorems for Elliptic Equations in the Plane

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