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Higher integrability for parabolic equations of \(p(x,t)\)-Laplacian type - MaRDI portal

Higher integrability for parabolic equations of \(p(x,t)\)-Laplacian type (Q2504064)

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Higher integrability for parabolic equations of \(p(x,t)\)-Laplacian type
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    Higher integrability for parabolic equations of \(p(x,t)\)-Laplacian type (English)
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    22 September 2006
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    The paper is devoted to the proof of higher integrability for the gradients of weak solutions of parabolic equations of \(p\)-Laplacian type with variable exponent of nonlinearity. The authors prove that the weak solution is bounded and establish Meyer's type estimates.
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    higher integrability of gradients
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    \(p\)-Laplacian
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    weak solutions
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    Meyer's type estimate
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