A nonlinear theory of generalized functions.
2nd ed. Zbl 0694.46032
Biagioni, Hebe A. |
|
1990
|
Ill-posedness for the derivative Schrödinger and generalized Benjamin-Ono equations. Zbl 0970.35154
Biagioni, H. A.; Linares, F. |
|
2001
|
Borel’s theorem for generalized functions. Zbl 0627.46049
Biagioni, H. A.; Colombeau, J. F. |
|
1985
|
On the Benney-Lin and Kawahara equations. Zbl 0876.35100
Biagioni, H. A.; Linares, F. |
|
1997
|
Intrinsic definition of the Colombeau algebra of generalized functions. Zbl 0765.46019
Aragona, J.; Biagioni, H. A. |
|
1991
|
On the Korteweg-de Vries-Kuramoto-Sivashinsky equation. Zbl 0844.35103
Biagioni, H. A.; Bona, J. L.; Iorio, R. J. jun.; Scialom, M. |
|
1996
|
Generalized solutions to the Korteweg-de Vries and the regularized long- wave equations. Zbl 0757.35068
Biagioni, H. A.; Oberguggenberger, M. |
|
1992
|
Generalized solutions to Burgers’ equation. Zbl 0777.35071
Biagioni, H. A.; Oberguggenberger, M. |
|
1992
|
Well-posedness results for the modified Zakharov-Kuznetsov equation. Zbl 1038.35090
Biagioni, H. A.; Linares, F. |
|
2003
|
Generalized solutions to nonlinear first-order systems. Zbl 0807.35020
Biagioni, H. A. |
|
1994
|
Fractional derivative estimates in Gevrey spaces, global regularity and decay for solutions to semilinear equations in \(\mathbb R^n\). Zbl 1160.35311
Biagioni, Hebe A.; Gramchev, Todor |
|
2003
|
New generalized functions and \(C^{\infty}\) functions with values in generalized complex numbers. Zbl 0594.46035
Biagioni, H. A.; Colombeau, J. F. |
|
1986
|
Whitney’s extension theorem for generalized functions. Zbl 0603.46044
Biagioni, H. A.; Colombeau, J. F. |
|
1986
|
Multidimensional Kuramoto-Sivashinsky type equations: Singular initial data and analytic regularity. Zbl 0921.35067
Biagioni, Hebe A.; Gramchev, Todor |
|
1998
|
Parabolic equations with conservative nonlinear term and singular initial data. Zbl 0889.35048
Biagioni, Hebe A.; Cadeddu, Lucio; Gramchev, Todor |
|
1997
|
The Cauchy problem for semilinear hyperbolic systems with generalized functions as initial conditions. Zbl 0666.35058
Biagioni, H. A. |
|
1988
|
Semilinear parabolic equations with singular initial data in anisotropic weighted spaces. Zbl 1014.35041
Biagioni, Hebe A.; Cadeddu, Lucio; Gramchev, Todor |
|
1999
|
Evolution PDE with elliptic dissipative terms: Critical index for singular initial data, self-similar solutions and analytic regularity. Zbl 0990.35060
Biagioni, Hebe A.; Gramchev, Todor |
|
1998
|
On the 2D Navier-Stokes equation with singular initial data and forcing term. Zbl 0869.35073
Biagioni, Hebe A.; Gramchev, Todor |
|
1996
|
Ill-posedness for the Zakharov system with generalized nonlinearity. Zbl 1028.35138
Biagioni, H. A.; Linares, F. |
|
2003
|
Generalized solutions to the Kuramoto-Sivashinsky equation. Zbl 0907.35112
Biagioni, H. A.; Iorio, R. J. jun. |
|
1998
|
Generalized solutions of the Benjamin-Ono and Smith equations. Zbl 0809.35100
Biagioni, H. A.; Iório, Rafael José jun. |
|
1994
|
Well-posedness results for the modified Zakharov-Kuznetsov equation. Zbl 1038.35090
Biagioni, H. A.; Linares, F. |
|
2003
|
Fractional derivative estimates in Gevrey spaces, global regularity and decay for solutions to semilinear equations in \(\mathbb R^n\). Zbl 1160.35311
Biagioni, Hebe A.; Gramchev, Todor |
|
2003
|
Ill-posedness for the Zakharov system with generalized nonlinearity. Zbl 1028.35138
Biagioni, H. A.; Linares, F. |
|
2003
|
Ill-posedness for the derivative Schrödinger and generalized Benjamin-Ono equations. Zbl 0970.35154
Biagioni, H. A.; Linares, F. |
|
2001
|
Semilinear parabolic equations with singular initial data in anisotropic weighted spaces. Zbl 1014.35041
Biagioni, Hebe A.; Cadeddu, Lucio; Gramchev, Todor |
|
1999
|
Multidimensional Kuramoto-Sivashinsky type equations: Singular initial data and analytic regularity. Zbl 0921.35067
Biagioni, Hebe A.; Gramchev, Todor |
|
1998
|
Evolution PDE with elliptic dissipative terms: Critical index for singular initial data, self-similar solutions and analytic regularity. Zbl 0990.35060
Biagioni, Hebe A.; Gramchev, Todor |
|
1998
|
Generalized solutions to the Kuramoto-Sivashinsky equation. Zbl 0907.35112
Biagioni, H. A.; Iorio, R. J. jun. |
|
1998
|
On the Benney-Lin and Kawahara equations. Zbl 0876.35100
Biagioni, H. A.; Linares, F. |
|
1997
|
Parabolic equations with conservative nonlinear term and singular initial data. Zbl 0889.35048
Biagioni, Hebe A.; Cadeddu, Lucio; Gramchev, Todor |
|
1997
|
On the Korteweg-de Vries-Kuramoto-Sivashinsky equation. Zbl 0844.35103
Biagioni, H. A.; Bona, J. L.; Iorio, R. J. jun.; Scialom, M. |
|
1996
|
On the 2D Navier-Stokes equation with singular initial data and forcing term. Zbl 0869.35073
Biagioni, Hebe A.; Gramchev, Todor |
|
1996
|
Generalized solutions to nonlinear first-order systems. Zbl 0807.35020
Biagioni, H. A. |
|
1994
|
Generalized solutions of the Benjamin-Ono and Smith equations. Zbl 0809.35100
Biagioni, H. A.; Iório, Rafael José jun. |
|
1994
|
Generalized solutions to the Korteweg-de Vries and the regularized long- wave equations. Zbl 0757.35068
Biagioni, H. A.; Oberguggenberger, M. |
|
1992
|
Generalized solutions to Burgers’ equation. Zbl 0777.35071
Biagioni, H. A.; Oberguggenberger, M. |
|
1992
|
Intrinsic definition of the Colombeau algebra of generalized functions. Zbl 0765.46019
Aragona, J.; Biagioni, H. A. |
|
1991
|
A nonlinear theory of generalized functions.
2nd ed. Zbl 0694.46032
Biagioni, Hebe A. |
|
1990
|
The Cauchy problem for semilinear hyperbolic systems with generalized functions as initial conditions. Zbl 0666.35058
Biagioni, H. A. |
|
1988
|
New generalized functions and \(C^{\infty}\) functions with values in generalized complex numbers. Zbl 0594.46035
Biagioni, H. A.; Colombeau, J. F. |
|
1986
|
Whitney’s extension theorem for generalized functions. Zbl 0603.46044
Biagioni, H. A.; Colombeau, J. F. |
|
1986
|
Borel’s theorem for generalized functions. Zbl 0627.46049
Biagioni, H. A.; Colombeau, J. F. |
|
1985
|