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Boundary value problems, pairs of projections/reflections. Rotation and cosine operators, well posedness. Compactness for smooth boundaries. Rellich estimates for…
lecture15b
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Boundary value problems, pairs of projections/reflections. Rotation and cosine operators, well posedness. Compactness for smooth boundaries. Rellich estimates for…
lecture15a
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Time-harmonic Dirac equations and Cauchy integrals. Radiation conditions. Boundary value problems.
lecture14b
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Time-harmonic Dirac equations and Cauchy integrals. Radiation conditions. Boundary value problems.
lecture14a
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Maxwell's equations and hyperbolic Dirac equations. The initial value problem.
lecture13b
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Maxwell's equations and hyperbolic Dirac equations. The initial value problem.
lecture13a
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Splitting of boundary fields into Hardy spaces of monogenic fields. Cauchy projections and jump formulas.
lecture12b
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Splitting of boundary fields into Hardy spaces of monogenic fields. Cauchy projections and jump formulas.
lecture12a
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Dirac equation and monogenic fields. Cauchy's integral formula in R^n. Louville theorems. Kelvin transform.
lecture11b
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Dirac equation and monogenic fields. Cauchy's integral formula in R^n. Louville theorems. Kelvin transform.
lecture11a
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Existence of potentials. Weitzenböck identity, Gaffney's inequality, Picard's theorem.
lecture10b
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Existence of potentials. Weitzenböck identity, Gaffney's inequality, Picard's theorem.
lecture10a
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Hodge decompositions and projections. Tangential and normal boundary conditions. Betti numbers.
lecture9b
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Hodge decompositions and projections. Tangential and normal boundary conditions. Betti numbers.
lecture9a
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