Sharp estimates for homogeneous semigroups in homogeneous spaces. Applications to PDEs and fractional diffusion in ℝN
DOI10.1142/S0219199720500704zbMath1497.47058OpenAlexW3093504924WikidataQ114072661 ScholiaQ114072661MaRDI QIDQ5062145
Jan W. Cholewa, Aníbal Rodgriguez-Bernal
Publication date: 15 March 2022
Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0219199720500704
homogeneous spacessemigroups of linear operatorsSchrödinger equationsStokes equationsfractional diffusion equationslinear parabolic equations
PDEs in connection with fluid mechanics (35Q35) One-parameter semigroups and linear evolution equations (47D06) Groups and semigroups of linear operators (47D03) PDEs in connection with quantum mechanics (35Q40) Second-order parabolic equations (35K10) Higher-order parabolic equations (35K25) Fractional partial differential equations (35R11)
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Cites Work
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- Nonlocal diffusion and applications
- Stochastic Lagrangian particle approach to fractal Navier-Stokes equations
- Hitchhiker's guide to the fractional Sobolev spaces
- Linear higher order parabolic problems in locally uniform Lebesgue's spaces
- Ten equivalent definitions of the fractional Laplace operator
- On the regularity criteria for the generalized Navier-Stokes equations and Lagrangian averaged Euler equations.
- Estimates for translation invariant operators in \(L^p\) spaces
- Lower bounds for an integral involving fractional Laplacians and the generalized Navier-Stokes equations in Besov spaces
- Kinetic derivation of fractional Stokes and Stokes-Fourier systems
- Semigroups of linear operators and applications to partial differential equations
- Geometric theory of semilinear parabolic equations
- Scaling in nonlinear parabolic equations
- Bounded \(H_ \infty\)-calculus for elliptic operators
- Fractional quantum mechanics and Lévy path integrals
- Fractional Laplacians, perimeters and heat semigroups in Carnot groups
- Forward self-similar solutions of the fractional Navier-Stokes equations
- An Introduction to the Mathematical Theory of the Navier-Stokes Equations
- Extension Problem and Harnack's Inequality for Some Fractional Operators
- Principles of Fractional Quantum Mechanics
- Note on fractional powers of linear operators
- Analysis on Morrey Spaces and Applications to Navier-Stokes and Other Evolution Equations
- Semilinear heat equations and the navier-stokes equation with distributions in new function spaces as initial data
- Boundary values of holomorphic semigroups
- Navier-stokes flow in r3with measures as initial vorticity and morrey spaces
- Besov-Morrey spaces: Function space theory and applications to non-linear PDE
- The stability of small stationary solutions in Morrey spaces of the Navier-Stokes equation
- Gaussian Estimates and Holomorphy of Semigroups on L p Spaces
- Classical Fourier Analysis
- Strong solutions of the Navier-Stokes equation in Morrey spaces
- Analytic semigroups and optimal regularity in parabolic problems
- Fractional powers of operators
- Semilinear heat equations with distributions in Morrey spaces as initial data
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