On the Cauchy problem for a generalized nonlinear heat equation

DOI10.1515/gmj-2018-0020zbMath1393.35080OpenAlexW2807057837WikidataQ130037554 ScholiaQ130037554MaRDI QIDQ1637524

Franka Baaske, Hans-Juergen Schmeisser

Publication date: 8 June 2018

Published in: Georgian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/gmj-2018-0020

zbMATH Keywords

well-posednessmild and strong solutionsnonlinear generalized heat equation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) PDEs in connection with fluid mechanics (35Q35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Higher-order parabolic equations (35K25)

Related Items (3)

Bochner's subordination and fractional caloric smoothing in Besov and Triebel–Lizorkin spaces ⋮ On the existence and uniqueness of mild and strong solutions of a generalized nonlinear heat equation ⋮ On the Cauchy problem for hyperdissipative Navier-Stokes equations in super-critical Besov and Triebel-Lizorkin spaces

Cites Work

• PDE models for chemotaxis and hydrodynamics in supercritical function spaces
• Local function spaces, heat and Navier-Stokes equations
• Heat and Navier-Stokes equations in supercritical function spaces
• Well-posedness of the Cauchy problem for the fractional power dissipative equations
• Hybrid function spaces, heat and Navier-Stokes equations
• Meso-scale turbulence in living fluids
• On a generalized nonlinear heat equation in Besov and Triebel-Lizorkin spaces
• Minimal continuum theories of structure formation in dense active fluids
• Time-space estimates of solutions to general semilinear parabolic equations.
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On the Cauchy problem for a generalized nonlinear heat equation