The critical exponent for evolution models with power non-linearity

DOI10.1007/978-3-030-10937-0_5zbMath1428.35060OpenAlexW2943987249MaRDI QIDQ2330765

Linniker Monteiro Lourenço, Marcelo Rempel Ebert

Publication date: 23 October 2019

Full work available at URL: https://doi.org/10.1007/978-3-030-10937-0_5

zbMATH Keywords

power nonlinearitysmall data solutions\(L^r - L^q\) estimates

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) A priori estimates in context of PDEs (35B45) Initial value problems for second-order hyperbolic equations (35L15) Fractional partial differential equations (35R11) Second-order semilinear hyperbolic equations (35L71)

Related Items (3)

The move from Fujita type exponent to a shift of it for a class of semilinear evolution equations with time-dependent damping ⋮ A test function method for evolution equations with fractional powers of the Laplace operator ⋮ The critical exponent for semilinear \(\sigma \)-evolution equations with a strong non-effective damping

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