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Consider nonlinear wave equations in the spatially flat Friedmann–Lemaître–Robertson–Walker (FLRW) spacetimes. We show blow-up in finite time of solutions and upper bounds of the lifespan of blow-up solutions to give… Click to show full abstract
Consider nonlinear wave equations in the spatially flat Friedmann–Lemaître–Robertson–Walker (FLRW) spacetimes. We show blow-up in finite time of solutions and upper bounds of the lifespan of blow-up solutions to give the FLRW spacetime version of Glassey’s conjecture for the time derivative nonlinearity. We also show blow-up results for the space derivative nonlinear term.
Keywords:
tre robertson;
friedmann lema;
robertson walker;
glassey conjecture;
lema tre;
wave equations
Journal Title: Boundary Value Problems
Year Published: 2021
Link to full text (if available)
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Journal Title: Boundary Value Problems
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!