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This is a collection of open problems concerning various areas in function theory, functional analysis, theory of linear and nonlinear partial differential equations.
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Maz’ya, V. Seventy Five (Thousand) Unsolved Problems in Analysis and Partial Differential Equations. Integr. Equ. Oper. Theory 90, 25 (2018). https://doi.org/10.1007/s00020-018-2460-8
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DOI: https://doi.org/10.1007/s00020-018-2460-8
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Keywords
- Sobolev spaces
- Capacitary inequality
- Hardy inequality
- Riesz potential space
- Singular integral operator
- Fredholm radius
- Maximal operator
- Boundary value problems for elliptic operators
- Laplace equation
- Cauchy problem
- Lipschitz domains
- Jordan domains
- Green function
- Capacity potential
- Polyharmonic potential
- Oblique derivative problem
- Lame system
- Stokes system
- Navier–Stokes system
- Wiener test
- p-Laplace operator
- Heat operator
- Wave operator
- Surface waves
- Hybrid iterative methods