On the wave equation with multiplicities and space-dependent irregular coefficients
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Publication:5857739
DOI10.1090/tran/8319zbMath1460.35219arXiv2004.09657OpenAlexW3106208497MaRDI QIDQ5857739
Publication date: 7 April 2021
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2004.09657
very weak solutionsirregular coefficientscoefficiens of jump (Heaviside) typeparameter dependent regularisation of the coefficientspositive distribution coefficients
Wave equation (35L05) PDEs with low regular coefficients and/or low regular data (35R05) Initial value problems for second-order hyperbolic equations (35L15)
Related Items (8)
Fractional Schrödinger equations with singular potentials of higher order. II: Hypoelliptic case ⋮ The heat equation with singular potentials. II: Hypoelliptic case ⋮ Stochastic parabolic equations with singular potentials ⋮ Inhomogeneous wave equation with \(t\)-dependent singular coefficients ⋮ Wave equation for Sturm-Liouville operator with singular intermediate coefficient and potential ⋮ On the wave equation with space dependent coefficients: singularities and lower order terms ⋮ Schrödinger equation with singular position dependent mass ⋮ The Euler-Bernoulli equation with distributional coefficients and forces
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